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56742912 = 2103247131
BaseRepresentation
bin1101100001110…
…1010000000000
310221202211122100
43120131100000
5104011233122
65344110400
71256210142
oct330352000
9127684570
1056742912
112a036876
1217005400
13b9a95b5
147770c92
154eacaac
hex361d400

56742912 has 132 divisors (see below), whose sum is σ = 168607296. Its totient is φ = 18370560.

The previous prime is 56742899. The next prime is 56742919. The reversal of 56742912 is 21924765.

56742912 is a `hidden beast` number, since 567 + 4 + 2 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56742919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433087 + ... + 433217.

It is an arithmetic number, because the mean of its divisors is an integer number (1277328).

Almost surely, 256742912 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 56742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84303648).

56742912 is an abundant number, since it is smaller than the sum of its proper divisors (111864384).

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

56742912 is a wasteful number, since it uses less digits than its factorization.

56742912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 56742912 is about 7532.7891248859. The cubic root of 56742912 is about 384.2706425401.

The spelling of 56742912 in words is "fifty-six million, seven hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 131 141 144 188 192 256 262 282 288 376 384 393 423 512 524 564 576 752 768 786 846 1024 1048 1128 1152 1179 1504 1536 1572 1692 2096 2256 2304 2358 3008 3072 3144 3384 4192 4512 4608 4716 6016 6157 6288 6768 8384 9024 9216 9432 12032 12314 12576 13536 16768 18048 18471 18864 24064 24628 25152 27072 33536 36096 36942 37728 48128 49256 50304 54144 55413 67072 72192 73884 75456 98512 100608 108288 110826 134144 144384 147768 150912 197024 201216 216576 221652 295536 301824 394048 402432 433152 443304 591072 603648 788096 886608 1182144 1207296 1576192 1773216 2364288 3152384 3546432 4728576 6304768 7092864 9457152 14185728 18914304 28371456 56742912