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56298672 = 2433194
BaseRepresentation
bin1101011011000…
…0110010110000
310220221021021000
43112300302300
5103403024142
65330402000
71252350033
oct326606260
9126837230
1056298672
1129863031
1216a30300
13b882331
14769701a
154e2114c
hex35b0cb0

56298672 has 100 divisors (see below), whose sum is σ = 170575640. Its totient is φ = 17778528.

The previous prime is 56298647. The next prime is 56298673. The reversal of 56298672 is 27689265.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56298672 is a `hidden beast` number, since 562 + 9 + 86 + 7 + 2 = 666.

Its product of digits (362880) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (56298673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2963079 + ... + 2963097.

Almost surely, 256298672 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 56298672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85287820).

56298672 is an abundant number, since it is smaller than the sum of its proper divisors (114276968).

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

56298672 is an frugal number, since it uses more digits than its factorization.

56298672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 24 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 56298672 is about 7503.2440983884. The cubic root of 56298672 is about 383.2651963751.

The spelling of 56298672 in words is "fifty-six million, two hundred ninety-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 361 432 456 513 684 722 912 1026 1083 1368 1444 2052 2166 2736 2888 3249 4104 4332 5776 6498 6859 8208 8664 9747 12996 13718 17328 19494 20577 25992 27436 38988 41154 51984 54872 61731 77976 82308 109744 123462 130321 155952 164616 185193 246924 260642 329232 370386 390963 493848 521284 740772 781926 987696 1042568 1172889 1481544 1563852 2085136 2345778 2963088 3127704 3518667 4691556 6255408 7037334 9383112 14074668 18766224 28149336 56298672