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56279424 = 2731131297
BaseRepresentation
bin1101011010110…
…0000110000000
310220220021212010
43112230012000
5103401420144
65330132520
71252236645
oct326540600
9126807763
1056279424
112984a623
1216a21140
13b876646
14768ddcc
154e1a5b9
hex35ac180

56279424 has 64 divisors (see below), whose sum is σ = 150931440. Its totient is φ = 18579456.

The previous prime is 56279411. The next prime is 56279437. The reversal of 56279424 is 42497265.

It is an interprime number because it is at equal distance from previous prime (56279411) and next prime (56279437).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42744 + ... + 44040.

Almost surely, 256279424 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 56279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75465720).

56279424 is an abundant number, since it is smaller than the sum of its proper divisors (94652016).

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

56279424 is a wasteful number, since it uses less digits than its factorization.

56279424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1415 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 56279424 is about 7501.9613435421. The cubic root of 56279424 is about 383.2215131103.

It can be divided in two parts, 5627 and 9424, that added together give a palindrome (15051).

The spelling of 56279424 in words is "fifty-six million, two hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1297 1356 1808 2594 2712 3616 3891 5188 5424 7232 7782 10376 10848 14464 15564 20752 21696 31128 41504 43392 62256 83008 124512 146561 166016 249024 293122 439683 498048 586244 879366 1172488 1758732 2344976 3517464 4689952 7034928 9379904 14069856 18759808 28139712 56279424