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56388339 = 337616773
BaseRepresentation
bin1101011100011…
…0101011110011
310221002211021000
43113012223303
5103413411324
65332333043
71253202330
oct327065363
9127084230
1056388339
1129914437
1216a74183
13b8b40a7
1476bb987
154e3c9c9
hex35c6af3

56388339 has 64 divisors (see below), whose sum is σ = 99834880. Its totient is φ = 30792960.

The previous prime is 56388329. The next prime is 56388347. The reversal of 56388339 is 93388365.

56388339 is a `hidden beast` number, since 5 + 638 + 8 + 3 + 3 + 9 = 666.

It is not a de Polignac number, because 56388339 - 24 = 56388323 is a prime.

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 56388339 = 1793 + 3703 = 2723 + 3313.

It is a junction number, because it is equal to n+sod(n) for n = 56388294 and 56388303.

It is not an unprimeable number, because it can be changed into a prime (56388329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 772407 + ... + 772479.

It is an arithmetic number, because the mean of its divisors is an integer number (1559920).

Almost surely, 256388339 is an apocalyptic number.

56388339 is a deficient number, since it is larger than the sum of its proper divisors (43446541).

56388339 is a wasteful number, since it uses less digits than its factorization.

56388339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 56388339 is about 7509.2169365387. The cubic root of 56388339 is about 383.4685641764.

The spelling of 56388339 in words is "fifty-six million, three hundred eighty-eight thousand, three hundred thirty-nine".

Divisors: 1 3 7 9 21 27 61 63 67 73 183 189 201 219 427 469 511 549 603 657 1281 1407 1533 1647 1809 1971 3843 4087 4221 4453 4599 4891 11529 12261 12663 13359 13797 14673 28609 31171 34237 36783 40077 44019 85827 93513 102711 110349 120231 132057 257481 280539 298351 308133 772443 841617 895053 924399 2088457 2685159 6265371 8055477 18796113 56388339