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56296968 = 233713149173
BaseRepresentation
bin1101011011000…
…0011000001000
310220221011220220
43112300120020
5103403000333
65330350040
71252342050
oct326603010
9126834826
1056296968
1129861822
1216a2b320
13b881620
147696560
154e208b3
hex35b0608

56296968 has 128 divisors (see below), whose sum is σ = 175392000. Its totient is φ = 14662656.

The previous prime is 56296963. The next prime is 56296969. The reversal of 56296968 is 86969265.

It is a self number, because there is not a number n which added to its sum of digits gives 56296968.

It is not an unprimeable number, because it can be changed into a prime (56296963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325330 + ... + 325502.

It is an arithmetic number, because the mean of its divisors is an integer number (1370250).

Almost surely, 256296968 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 56296968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87696000).

56296968 is an abundant number, since it is smaller than the sum of its proper divisors (119095032).

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

56296968 is a wasteful number, since it uses less digits than its factorization.

56296968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 56296968 is about 7503.1305466452. The cubic root of 56296968 is about 383.2613295551.

The spelling of 56296968 in words is "fifty-six million, two hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 149 156 168 173 182 273 298 312 346 364 447 519 546 596 692 728 894 1038 1043 1092 1192 1211 1384 1788 1937 2076 2086 2184 2249 2422 3129 3576 3633 3874 4152 4172 4498 4844 5811 6258 6747 7266 7748 8344 8996 9688 11622 12516 13494 13559 14532 15496 15743 17992 23244 25032 25777 26988 27118 29064 31486 40677 46488 47229 51554 53976 54236 62972 77331 81354 94458 103108 108472 125944 154662 162708 180439 188916 206216 309324 325416 335101 360878 377832 541317 618648 670202 721756 1005303 1082634 1340404 1443512 2010606 2165268 2345707 2680808 4021212 4330536 4691414 7037121 8042424 9382828 14074242 18765656 28148484 56296968