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56345536 = 261367723
BaseRepresentation
bin1101011011110…
…0001111000000
310221000122112201
43112330033000
5103411024121
65331402544
71252633462
oct326741700
9127018481
1056345536
1129895265
1216a53454
13b89a770
1476aa132
154e2ee91
hex35bc3c0

56345536 has 28 divisors (see below), whose sum is σ = 120413272. Its totient is φ = 26005248.

The previous prime is 56345533. The next prime is 56345539. The reversal of 56345536 is 63554365.

56345536 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 (56345533) and next prime (56345539).

It is a junction number, because it is equal to n+sod(n) for n = 56345495 and 56345504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56345533) 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 3 ways as a sum of consecutive naturals, for example, 33030 + ... + 34693.

It is an arithmetic number, because the mean of its divisors is an integer number (4300474).

Almost surely, 256345536 is an apocalyptic number.

It is an amenable number.

56345536 is an abundant number, since it is smaller than the sum of its proper divisors (64067736).

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

56345536 is a wasteful number, since it uses less digits than its factorization.

56345536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67748 (or 67738 counting only the distinct ones).

The product of its digits is 162000, while the sum is 37.

The square root of 56345536 is about 7506.3663646268. The cubic root of 56345536 is about 383.3715124334.

The spelling of 56345536 in words is "fifty-six million, three hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 67723 135446 270892 541784 880399 1083568 1760798 2167136 3521596 4334272 7043192 14086384 28172768 56345536