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56745472 = 29771223
BaseRepresentation
bin1101100001110…
…1111000000000
310221202222011011
43120131320000
5104011323342
65344130304
71256220460
oct330357000
9127688134
1056745472
112a038793
1217006994
13b9aa804
147771ba0
154ead717
hex361de00

56745472 has 80 divisors (see below), whose sum is σ = 131991552. Its totient is φ = 23869440.

The previous prime is 56745461. The next prime is 56745511. The reversal of 56745472 is 27454765.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254353 + ... + 254575.

Almost surely, 256745472 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 56745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995776).

56745472 is an abundant number, since it is smaller than the sum of its proper divisors (75246080).

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

56745472 is an equidigital number, since it uses as much as digits as its factorization.

56745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its digits is 235200, while the sum is 40.

The square root of 56745472 is about 7532.9590467492. The cubic root of 56745472 is about 384.2764213415.

The spelling of 56745472 in words is "fifty-six million, seven hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 223 224 256 284 446 448 497 512 568 892 896 994 1136 1561 1784 1792 1988 2272 3122 3568 3584 3976 4544 6244 7136 7952 9088 12488 14272 15833 15904 18176 24976 28544 31666 31808 36352 49952 57088 63332 63616 99904 110831 114176 126664 127232 199808 221662 253328 254464 399616 443324 506656 799232 886648 1013312 1773296 2026624 3546592 4053248 7093184 8106496 14186368 28372736 56745472