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56269836 = 22337531
BaseRepresentation
bin1101011010100…
…1110000001100
310220212210201000
43112221300030
5103401113321
65330020300
71252200000
oct326516014
9126783630
1056269836
11298433a7
1216a17690
13b87217c
14768a700
154e17826
hex35a9c0c

56269836 has 144 divisors (see below), whose sum is σ = 175687680. Its totient is φ = 15558480.

The previous prime is 56269817. The next prime is 56269861. The reversal of 56269836 is 63896265.

It is a happy number.

56269836 is a `hidden beast` number, since 562 + 6 + 9 + 83 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56269791 and 56269800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815141 + ... + 1815171.

Almost surely, 256269836 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 56269836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87843840).

56269836 is an abundant number, since it is smaller than the sum of its proper divisors (119417844).

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

56269836 is an equidigital number, since it uses as much as digits as its factorization.

56269836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 43 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 56269836 is about 7501.3222834378. The cubic root of 56269836 is about 383.1997494634.

The spelling of 56269836 in words is "fifty-six million, two hundred sixty-nine thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 279 294 343 372 378 434 441 558 588 651 686 756 837 868 882 1029 1116 1302 1323 1372 1519 1674 1764 1953 2058 2401 2604 2646 3038 3087 3348 3906 4116 4557 4802 5292 5859 6076 6174 7203 7812 9114 9261 9604 10633 11718 12348 13671 14406 16807 18228 18522 21266 21609 23436 27342 28812 31899 33614 37044 41013 42532 43218 50421 54684 63798 64827 67228 74431 82026 86436 95697 100842 127596 129654 148862 151263 164052 191394 201684 223293 259308 287091 297724 302526 382788 446586 453789 521017 574182 605052 669879 893172 907578 1042034 1148364 1339758 1563051 1815156 2009637 2084068 2679516 3126102 4019274 4689153 6252204 8038548 9378306 14067459 18756612 28134918 56269836