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56307272 = 23723792
BaseRepresentation
bin1101011011001…
…0111001001000
310220221201001112
43112302321020
5103403313042
65330505452
71252414100
oct326627110
9126851045
1056307272
112986953a
1216a35288
13b886218
14769a200
154e23982
hex35b2e48

56307272 has 36 divisors (see below), whose sum is σ = 123137955. Its totient is φ = 24068016.

The previous prime is 56307263. The next prime is 56307301. The reversal of 56307272 is 27270365.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56307272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28153636 + 28153636 = 5306^2 + 5306^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5306.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 148379 + ... + 148757.

Almost surely, 256307272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56307272

56307272 is an abundant number, since it is smaller than the sum of its proper divisors (66830683).

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

56307272 is an equidigital number, since it uses as much as digits as its factorization.

56307272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 56307272 is about 7503.8171619516. The cubic root of 56307272 is about 383.2847108251.

Multiplying 56307272 by its sum of digits (32), we get a square (1801832704 = 424482).

The spelling of 56307272 in words is "fifty-six million, three hundred seven thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 379 392 758 1516 2653 3032 5306 10612 18571 21224 37142 74284 143641 148568 287282 574564 1005487 1149128 2010974 4021948 7038409 8043896 14076818 28153636 56307272