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252770496 = 26311294127
BaseRepresentation
bin11110001000011…
…11100011000000
3122121122001221020
433010033203000
51004202123441
641025425440
76156341136
oct1704174300
9577561836
10252770496
1111a756240
127079b280
13404a2754
14257db756
15172cee66
hexf10f8c0

252770496 has 112 divisors (see below), whose sum is σ = 754928640. Its totient is φ = 73937920.

The previous prime is 252770477. The next prime is 252770587. The reversal of 252770496 is 694077252.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59185 + ... + 63311.

Almost surely, 2252770496 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 252770496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377464320).

252770496 is an abundant number, since it is smaller than the sum of its proper divisors (502158144).

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

252770496 is a wasteful number, since it uses less digits than its factorization.

252770496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 252770496 is about 15898.7576873163. The cubic root of 252770496 is about 632.2790521155.

The spelling of 252770496 in words is "two hundred fifty-two million, seven hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1914 2112 2552 2784 3828 4127 5104 5568 7656 8254 10208 12381 15312 16508 20416 24762 30624 33016 45397 49524 61248 66032 90794 99048 119683 132064 136191 181588 198096 239366 264128 272382 359049 363176 396192 478732 544764 718098 726352 792384 957464 1089528 1316513 1436196 1452704 1914928 2179056 2633026 2872392 2905408 3829856 3949539 4358112 5266052 5744784 7659712 7899078 8716224 10532104 11489568 15798156 21064208 22979136 31596312 42128416 63192624 84256832 126385248 252770496