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253308068 = 221331237137
BaseRepresentation
bin11110001100100…
…10110010100100
3122122122101100022
433012102302210
51004321324233
641045134312
76164040326
oct1706226244
9578571308
10253308068
1111aa93112
12709ba398
1340630340
14258db616
1517389398
hexf192ca4

253308068 has 72 divisors (see below), whose sum is σ = 510314616. Its totient is φ = 109278720.

The previous prime is 253308067. The next prime is 253308079. The reversal of 253308068 is 860803352.

It can be written as a sum of positive squares in 4 ways, for example, as 51724864 + 201583204 = 7192^2 + 14198^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253308067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1848896 + ... + 1849032.

It is an arithmetic number, because the mean of its divisors is an integer number (7087703).

Almost surely, 2253308068 is an apocalyptic number.

It is an amenable number.

253308068 is an abundant number, since it is smaller than the sum of its proper divisors (257006548).

253308068 is a wasteful number, since it uses less digits than its factorization.

253308068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 253308068 is about 15915.6548090237. The cubic root of 253308068 is about 632.7269615170.

The spelling of 253308068 in words is "two hundred fifty-three million, three hundred eight thousand, sixty-eight".

Divisors: 1 2 4 13 26 31 37 52 62 74 124 137 148 274 403 481 548 806 961 962 1147 1612 1781 1922 1924 2294 3562 3844 4247 4588 5069 7124 8494 10138 12493 14911 16988 20276 24986 29822 35557 49972 55211 59644 65897 71114 110422 131657 131794 142228 157139 220844 263314 263588 314278 462241 526628 628556 924482 1711541 1848964 2042807 3423082 4085614 4871309 6846164 8171228 9742618 19485236 63327017 126654034 253308068