Search a number
-
+
257464296 = 23323575893
BaseRepresentation
bin11110101100010…
…01011111101000
3122221110112121200
433112021133220
51011402324141
641314204200
76244260525
oct1726113750
9587415550
10257464296
11122371811
1272283660
134145704b
14262a014c
151790aab6
hexf5897e8

257464296 has 24 divisors (see below), whose sum is σ = 697299330. Its totient is φ = 85821408.

The previous prime is 257464271. The next prime is 257464327. The reversal of 257464296 is 692464752.

It can be written as a sum of positive squares in only one way, i.e., 229522500 + 27941796 = 15150^2 + 5286^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1787875 + ... + 1788018.

Almost surely, 2257464296 is an apocalyptic number.

It is an amenable number.

257464296 is an abundant number, since it is smaller than the sum of its proper divisors (439835034).

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

257464296 is a wasteful number, since it uses less digits than its factorization.

257464296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575905 (or 3575898 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 257464296 is about 16045.6940018187. The cubic root of 257464296 is about 636.1687578755.

The spelling of 257464296 in words is "two hundred fifty-seven million, four hundred sixty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3575893 7151786 10727679 14303572 21455358 28607144 32183037 42910716 64366074 85821432 128732148 257464296