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627056628 = 22311172271231
BaseRepresentation
bin100101011000000…
…001111111110100
31121200220202222120
4211120001333310
52241011303003
6142115555540
721352615302
oct4530017764
91550822876
10627056628
112a1a58a20
12155bbbbb0
139cbacc33
145d3cb272
153a0b4853
hex25601ff4

627056628 has 96 divisors (see below), whose sum is σ = 1698859008. Its totient is φ = 177907200.

The previous prime is 627056627. The next prime is 627056653. The reversal of 627056628 is 826650726.

627056628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 627056628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627056627) 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, 508773 + ... + 510003.

It is an arithmetic number, because the mean of its divisors is an integer number (17696448).

Almost surely, 2627056628 is an apocalyptic number.

627056628 is a gapful number since it is divisible by the number (68) 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 627056628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849429504).

627056628 is an abundant number, since it is smaller than the sum of its proper divisors (1071802380).

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

627056628 is a wasteful number, since it uses less digits than its factorization.

627056628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 627056628 is about 25041.0987778093. The cubic root of 627056628 is about 855.9247557379.

The spelling of 627056628 in words is "six hundred twenty-seven million, fifty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 227 374 454 561 681 748 908 1122 1231 1362 2244 2462 2497 2724 3693 3859 4924 4994 7386 7491 7718 9988 11577 13541 14772 14982 15436 20927 23154 27082 29964 40623 41854 42449 46308 54164 62781 81246 83708 84898 125562 127347 162492 169796 230197 251124 254694 279437 460394 509388 558874 690591 838311 920788 1117748 1381182 1676622 2762364 3073807 3353244 4750429 6147614 9221421 9500858 12295228 14251287 18442842 19001716 28502574 36885684 52254719 57005148 104509438 156764157 209018876 313528314 627056628