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56628351 = 32132311201
BaseRepresentation
bin1101100000000…
…1010001111111
310221120000111100
43120001101333
5103444101401
65341424143
71255222143
oct330012177
9127500440
1056628351
1129a6879a
1216b6b053
13b969400
147741223
154e88b86
hex360147f

56628351 has 36 divisors (see below), whose sum is σ = 91505856. Its totient is φ = 33696000.

The previous prime is 56628349. The next prime is 56628353. The reversal of 56628351 is 15382665.

56628351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56628349) and next prime (56628353).

It is not a de Polignac number, because 56628351 - 21 = 56628349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56628353) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 46551 + ... + 47751.

Almost surely, 256628351 is an apocalyptic number.

56628351 is a deficient number, since it is larger than the sum of its proper divisors (34877505).

56628351 is a wasteful number, since it uses less digits than its factorization.

56628351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1248 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 56628351 is about 7525.1811273882. The cubic root of 56628351 is about 384.0118607990.

The spelling of 56628351 in words is "fifty-six million, six hundred twenty-eight thousand, three hundred fifty-one".

Divisors: 1 3 9 13 31 39 93 117 169 279 403 507 1201 1209 1521 3603 3627 5239 10809 15613 15717 37231 46839 47151 111693 140517 202969 335079 484003 608907 1452009 1826721 4356027 6292039 18876117 56628351