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56689024 = 277151419
BaseRepresentation
bin1101100001000…
…0000110000000
310221200002201111
43120100012000
5104003022044
65343013104
71255564060
oct330200600
9127602644
1056689024
1129aaa337
1216b9a194
13b98ac02
1477593a0
154e9bb34
hex3610180

56689024 has 64 divisors (see below), whose sum is σ = 130233600. Its totient is φ = 24076800.

The previous prime is 56689013. The next prime is 56689051. The reversal of 56689024 is 42098665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135087 + ... + 135505.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 256689024 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 56689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65116800).

56689024 is an abundant number, since it is smaller than the sum of its proper divisors (73544576).

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

56689024 is a wasteful number, since it uses less digits than its factorization.

56689024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 56689024 is about 7529.2113796865. The cubic root of 56689024 is about 384.1489584134.

The spelling of 56689024 in words is "fifty-six million, six hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 151 224 302 419 448 604 838 896 1057 1208 1676 2114 2416 2933 3352 4228 4832 5866 6704 8456 9664 11732 13408 16912 19328 23464 26816 33824 46928 53632 63269 67648 93856 126538 135296 187712 253076 375424 442883 506152 885766 1012304 1771532 2024608 3543064 4049216 7086128 8098432 14172256 28344512 56689024