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556245144 = 23347139433
BaseRepresentation
bin100001001001111…
…010000010011000
31102202200011220000
4201021322002120
52114344321034
6131110133000
716533001650
oct4111720230
91382604800
10556245144
11265a93234
12136351160
138b318c50
1453c37360
1533c78599
hex2127a098

556245144 has 160 divisors (see below), whose sum is σ = 1917743520. Its totient is φ = 146686464.

The previous prime is 556245139. The next prime is 556245149. The reversal of 556245144 is 441542655.

556245144 is a `hidden beast` number, since 5 + 562 + 4 + 51 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (556245139) and next prime (556245149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 556245099 and 556245108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556245149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54252 + ... + 63684.

It is an arithmetic number, because the mean of its divisors is an integer number (11985897).

Almost surely, 2556245144 is an apocalyptic number.

556245144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556245144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958871760).

556245144 is an abundant number, since it is smaller than the sum of its proper divisors (1361498376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

556245144 is a wasteful number, since it uses less digits than its factorization.

556245144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471 (or 9458 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 556245144 is about 23584.8498829227. The cubic root of 556245144 is about 822.4106850785.

Adding to 556245144 its reverse (441542655), we get a palindrome (997787799).

The spelling of 556245144 in words is "five hundred fifty-six million, two hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9433 9828 14742 18866 19656 28299 29484 37732 56598 58968 66031 75464 84897 113196 122629 132062 169794 198093 226392 245258 254691 264124 339588 367887 396186 490516 509382 528248 594279 679176 735774 764073 792372 858403 981032 1018764 1103661 1188558 1471548 1528146 1584744 1716806 1782837 2037528 2207322 2377116 2575209 2943096 3056292 3310983 3433612 3565674 4414644 4754232 5150418 5348511 6112584 6621966 6867224 7131348 7725627 8829288 9932949 10300836 10697022 13243932 14262696 15451254 19865898 20601672 21394044 23176881 26487864 30902508 39731796 42788088 46353762 61805016 69530643 79463592 92707524 139061286 185415048 278122572 556245144