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268125496 = 231773113239
BaseRepresentation
bin11111111101101…
…00010100111000
3200200112012000221
433332310110320
51022120003441
642334505424
76434012662
oct1776642470
9620465027
10268125496
11128393721
1275965274
134371a852
1427877532
15188148d1
hexffb4538

268125496 has 64 divisors (see below), whose sum is σ = 546652800. Its totient is φ = 122830848.

The previous prime is 268125493. The next prime is 268125509. The reversal of 268125496 is 694521862.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268125493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121745 + ... + 1121983.

It is an arithmetic number, because the mean of its divisors is an integer number (8541450).

Almost surely, 2268125496 is an apocalyptic number.

It is an amenable number.

268125496 is an abundant number, since it is smaller than the sum of its proper divisors (278527304).

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

268125496 is a wasteful number, since it uses less digits than its factorization.

268125496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 268125496 is about 16374.5380392853. The cubic root of 268125496 is about 644.8311927290.

The spelling of 268125496 in words is "two hundred sixty-eight million, one hundred twenty-five thousand, four hundred ninety-six".

Divisors: 1 2 4 8 17 34 68 73 113 136 146 226 239 292 452 478 584 904 956 1241 1912 1921 2482 3842 4063 4964 7684 8126 8249 9928 15368 16252 16498 17447 27007 32504 32996 34894 54014 65992 69788 108028 139576 140233 216056 280466 296599 459119 560932 593198 918238 1121864 1186396 1836476 1971511 2372792 3672952 3943022 7886044 15772088 33515687 67031374 134062748 268125496