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54500628 = 223713291721
BaseRepresentation
bin1100111111100…
…1110100010100
310210112220210210
43033321310110
5102423010003
65224045420
71231150650
oct317716424
9123486723
1054500628
1128845146
1216303870
13b3a2ac0
147349a60
154bb8503
hex33f9d14

54500628 has 96 divisors (see below), whose sum is σ = 162005760. Its totient is φ = 13870080.

The previous prime is 54500627. The next prime is 54500629. The reversal of 54500628 is 82600545.

It is an interprime number because it is at equal distance from previous prime (54500627) and next prime (54500629).

It is a junction number, because it is equal to n+sod(n) for n = 54500595 and 54500604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54500627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30808 + ... + 32528.

It is an arithmetic number, because the mean of its divisors is an integer number (1687560).

Almost surely, 254500628 is an apocalyptic number.

54500628 is a gapful number since it is divisible by the number (58) 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 54500628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81002880).

54500628 is an abundant number, since it is smaller than the sum of its proper divisors (107505132).

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

54500628 is a wasteful number, since it uses less digits than its factorization.

54500628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 54500628 is about 7382.4540635212. The cubic root of 54500628 is about 379.1407826042.

The spelling of 54500628 in words is "fifty-four million, five hundred thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 58 78 84 87 91 116 156 174 182 203 273 348 364 377 406 546 609 754 812 1092 1131 1218 1508 1721 2262 2436 2639 3442 4524 5163 5278 6884 7917 10326 10556 12047 15834 20652 22373 24094 31668 36141 44746 48188 49909 67119 72282 89492 99818 134238 144564 149727 156611 199636 268476 299454 313222 349363 469833 598908 626444 648817 698726 939666 1048089 1297634 1397452 1879332 1946451 2096178 2595268 3892902 4192356 4541719 7785804 9083438 13625157 18166876 27250314 54500628