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56447712 = 253379827
BaseRepresentation
bin1101011101010…
…1001011100000
310221012211201000
43113111023200
5103422311322
65333512000
71253540406
oct327251340
9127184630
1056447712
1129955002
1216aa2600
13b905119
1476d5476
154e503ac
hex35d52e0

56447712 has 96 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 18555264.

The previous prime is 56447687. The next prime is 56447731. The reversal of 56447712 is 21774465.

56447712 is a `hidden beast` number, since 5 + 644 + 7 + 7 + 1 + 2 = 666.

56447712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67843 + ... + 68669.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 256447712 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 56447712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

56447712 is an abundant number, since it is smaller than the sum of its proper divisors (110477088).

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

56447712 is a wasteful number, since it uses less digits than its factorization.

56447712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 56447712 is about 7513.1692380779. The cubic root of 56447712 is about 383.6031055444.

The spelling of 56447712 in words is "fifty-six million, four hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 827 864 948 1264 1422 1654 1896 2133 2481 2528 2844 3308 3792 4266 4962 5688 6616 7443 7584 8532 9924 11376 13232 14886 17064 19848 22329 22752 26464 29772 34128 39696 44658 59544 65333 68256 79392 89316 119088 130666 178632 195999 238176 261332 357264 391998 522664 587997 714528 783996 1045328 1175994 1567992 1763991 2090656 2351988 3135984 3527982 4703976 6271968 7055964 9407952 14111928 18815904 28223856 56447712