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56306352 = 2435322133
BaseRepresentation
bin1101011011001…
…0101010110000
310220221122210110
43112302222300
5103403300402
65330501320
71252411314
oct326625260
9126848713
1056306352
1129868883
1216a34840
13b88598b
147699b44
154e2356c
hex35b2ab0

56306352 has 40 divisors (see below), whose sum is σ = 148209264. Its totient is φ = 18413824.

The previous prime is 56306351. The next prime is 56306353. The reversal of 56306352 is 25360365.

56306352 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 (56306351) and next prime (56306353).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56306351) 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 7 ways as a sum of consecutive naturals, for example, 8523 + ... + 13610.

Almost surely, 256306352 is an apocalyptic number.

It is an amenable number.

56306352 is an abundant number, since it is smaller than the sum of its proper divisors (91902912).

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

56306352 is a wasteful number, since it uses less digits than its factorization.

56306352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22197 (or 22191 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 56306352 is about 7503.7558595679. The cubic root of 56306352 is about 383.2826233277.

The spelling of 56306352 in words is "fifty-six million, three hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 22133 44266 66399 88532 132798 177064 265596 354128 531192 1062384 1173049 2346098 3519147 4692196 7038294 9384392 14076588 18768784 28153176 56306352