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56401548 = 2237371193
BaseRepresentation
bin1101011100100…
…1111010001100
310221010111101020
43113021322030
5103414322143
65332514140
71253256000
oct327117214
9127114336
1056401548
1129923355
1216a7b950
13b8ba0c8
1476c2700
154e41883
hex35c9e8c

56401548 has 96 divisors (see below), whose sum is σ = 156441600. Its totient is φ = 15805440.

The previous prime is 56401537. The next prime is 56401559. The reversal of 56401548 is 84510465.

It is an interprime number because it is at equal distance from previous prime (56401537) and next prime (56401559).

It is a super-2 number, since 2×564015482 = 6362269233592608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292140 + ... + 292332.

It is an arithmetic number, because the mean of its divisors is an integer number (1629600).

Almost surely, 256401548 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 56401548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78220800).

56401548 is an abundant number, since it is smaller than the sum of its proper divisors (100040052).

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

56401548 is a wasteful number, since it uses less digits than its factorization.

56401548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 56401548 is about 7510.0964041748. The cubic root of 56401548 is about 383.4985044140.

The spelling of 56401548 in words is "fifty-six million, four hundred one thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 193 196 213 284 294 343 386 426 497 579 588 686 772 852 994 1029 1158 1351 1372 1491 1988 2058 2316 2702 2982 3479 4053 4116 5404 5964 6958 8106 9457 10437 13703 13916 16212 18914 20874 24353 27406 28371 37828 41109 41748 48706 54812 56742 66199 73059 82218 95921 97412 113484 132398 146118 164436 191842 198597 264796 287763 292236 383684 397194 575526 671447 794388 1151052 1342894 2014341 2685788 4028682 4700129 8057364 9400258 14100387 18800516 28200774 56401548