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56240437 = 11217191439
BaseRepresentation
bin1101011010001…
…0100100110101
310220211022101011
43112202210311
5103344143222
65325232221
71252015201
oct326424465
9126738334
1056240437
1129823300
1216a02671
13b861986
14767db01
154e0dc77
hex35a2935

56240437 has 24 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 45555840.

The previous prime is 56240419. The next prime is 56240447. The reversal of 56240437 is 73404265.

56240437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-56240437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56240399 and 56240408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56240447) 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 23 ways as a sum of consecutive naturals, for example, 38364 + ... + 39802.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 256240437 is an apocalyptic number.

It is an amenable number.

56240437 is a deficient number, since it is larger than the sum of its proper divisors (12706763).

56240437 is a wasteful number, since it uses less digits than its factorization.

56240437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 56240437 is about 7499.3624395678. The cubic root of 56240437 is about 383.1330017303.

The spelling of 56240437 in words is "fifty-six million, two hundred forty thousand, four hundred thirty-seven".

Divisors: 1 11 17 19 121 187 209 323 1439 2057 2299 3553 15829 24463 27341 39083 174119 269093 300751 464797 2960023 3308261 5112767 56240437