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56536144 = 247504787
BaseRepresentation
bin1101011110101…
…0110001010000
310221101100000021
43113222301100
5103433124034
65335433224
71254356260
oct327526120
9127340007
1056536144
1129a05495
1216b25814
13b936452
1477197a0
154e6b6b4
hex35eac50

56536144 has 20 divisors (see below), whose sum is σ = 125187424. Its totient is φ = 24229728.

The previous prime is 56536133. The next prime is 56536147. The reversal of 56536144 is 44163565.

56536144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56536147) 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, 252282 + ... + 252505.

Almost surely, 256536144 is an apocalyptic number.

It is an amenable number.

56536144 is an abundant number, since it is smaller than the sum of its proper divisors (68651280).

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

56536144 is a wasteful number, since it uses less digits than its factorization.

56536144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504802 (or 504796 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 56536144 is about 7519.0520679139. The cubic root of 56536144 is about 383.8033208667.

The spelling of 56536144 in words is "fifty-six million, five hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 504787 1009574 2019148 3533509 4038296 7067018 8076592 14134036 28268072 56536144