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56411136 = 210326121
BaseRepresentation
bin1101011100110…
…0010000000000
310221010222112100
43113030100000
5103420124021
65333030400
71253325645
oct327142000
9127128470
1056411136
112992a581
1216a85400
13b8c1592
1476c5dcc
154e44626
hex35cc400

56411136 has 66 divisors (see below), whose sum is σ = 162912542. Its totient is φ = 18800640.

The previous prime is 56411129. The next prime is 56411161. The reversal of 56411136 is 63111465.

56411136 is a `hidden beast` number, since 5 + 641 + 1 + 13 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37748736 + 18662400 = 6144^2 + 4320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6156 + ... + 12276.

Almost surely, 256411136 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 56411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81456271).

56411136 is an abundant number, since it is smaller than the sum of its proper divisors (106501406).

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

56411136 is a wasteful number, since it uses less digits than its factorization.

56411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6126 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 56411136 is about 7510.7347177224. The cubic root of 56411136 is about 383.5202341682.

The spelling of 56411136 in words is "fifty-six million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 6121 9216 12242 18363 24484 36726 48968 55089 73452 97936 110178 146904 195872 220356 293808 391744 440712 587616 783488 881424 1175232 1566976 1762848 2350464 3133952 3525696 4700928 6267904 7051392 9401856 14102784 18803712 28205568 56411136