Search a number
-
+
555087456 = 253271125031
BaseRepresentation
bin100001000101011…
…111011001100000
31102200111100211200
4201011133121200
52114100244311
6131025241200
716520110530
oct4105373140
91380440750
10555087456
11265372470
12135a93200
138b002021
1453a154c0
1533aea556
hex2115f660

555087456 has 144 divisors (see below), whose sum is σ = 1968115968. Its totient is φ = 144172800.

The previous prime is 555087439. The next prime is 555087461. The reversal of 555087456 is 654780555.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9661 + ... + 34691.

It is an arithmetic number, because the mean of its divisors is an integer number (13667472).

Almost surely, 2555087456 is an apocalyptic number.

555087456 is a gapful number since it is divisible by the number (56) 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 555087456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984057984).

555087456 is an abundant number, since it is smaller than the sum of its proper divisors (1413028512).

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

555087456 is a wasteful number, since it uses less digits than its factorization.

555087456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25065 (or 25054 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 555087456 is about 23560.2940558899. The cubic root of 555087456 is about 821.8397400112.

The spelling of 555087456 in words is "five hundred fifty-five million, eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 25031 50062 75093 100124 150186 175217 200248 225279 275341 300372 350434 400496 450558 525651 550682 600744 700868 800992 826023 901116 1051302 1101364 1201488 1401736 1576953 1652046 1802232 1927387 2102604 2202728 2402976 2478069 2803472 3153906 3304092 3604464 3854774 4205208 4405456 4956138 5606944 5782161 6307812 6608184 7208928 7709548 8410416 8810912 9912276 11564322 12615624 13216368 15419096 16820832 17346483 19824552 23128644 25231248 26432736 30838192 34692966 39649104 46257288 50462496 61676384 69385932 79298208 92514576 138771864 185029152 277543728 555087456