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56314764 = 22351123229
BaseRepresentation
bin1101011011010…
…0101110001100
310220222002100000
43112310232030
5103404033024
65331004300
71252444662
oct326645614
9126862300
1056314764
1129874130
1216a39690
13b88975c
14769cc32
154e25cc9
hex35b4b8c

56314764 has 144 divisors (see below), whose sum is σ = 168779520. Its totient is φ = 16251840.

The previous prime is 56314759. The next prime is 56314807. The reversal of 56314764 is 46741365.

It is a happy number.

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

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, 245802 + ... + 246030.

It is an arithmetic number, because the mean of its divisors is an integer number (1172080).

Almost surely, 256314764 is an apocalyptic number.

56314764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56314764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84389760).

56314764 is an abundant number, since it is smaller than the sum of its proper divisors (112464756).

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

56314764 is a wasteful number, since it uses less digits than its factorization.

56314764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 56314764 is about 7504.3163579369. The cubic root of 56314764 is about 383.3017094685.

The spelling of 56314764 in words is "fifty-six million, three hundred fourteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 81 92 99 108 132 138 162 198 207 229 243 253 276 297 324 396 414 458 486 506 594 621 687 759 828 891 916 972 1012 1188 1242 1374 1518 1782 1863 2061 2277 2484 2519 2673 2748 3036 3564 3726 4122 4554 5038 5267 5346 5589 6183 6831 7452 7557 8244 9108 10076 10534 10692 11178 12366 13662 15114 15801 18549 20493 21068 22356 22671 24732 27324 30228 31602 37098 40986 45342 47403 55647 57937 61479 63204 68013 74196 81972 90684 94806 111294 115874 122958 136026 142209 173811 189612 204039 222588 231748 245916 272052 284418 347622 408078 426627 521433 568836 612117 695244 816156 853254 1042866 1224234 1279881 1564299 1706508 2085732 2448468 2559762 3128598 4692897 5119524 6257196 9385794 14078691 18771588 28157382 56314764