Search a number
-
+
257415156 = 223217420613
BaseRepresentation
bin11110101011111…
…01011111110100
3122221101001012200
433111331133310
51011344241111
641313144500
76243664335
oct1725753764
9587331180
10257415156
111223388a9
127225b130
134143a87b
142628a28c
15178eb256
hexf57d7f4

257415156 has 36 divisors (see below), whose sum is σ = 688965732. Its totient is φ = 80757504.

The previous prime is 257415127. The next prime is 257415161. The reversal of 257415156 is 651514752.

257415156 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 107744400 + 149670756 = 10380^2 + 12234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 257415156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209695 + ... + 210918.

It is an arithmetic number, because the mean of its divisors is an integer number (19137937).

Almost surely, 2257415156 is an apocalyptic number.

It is an amenable number.

257415156 is an abundant number, since it is smaller than the sum of its proper divisors (431550576).

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

257415156 is a wasteful number, since it uses less digits than its factorization.

257415156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420640 (or 420635 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 257415156 is about 16044.1626768118. The cubic root of 257415156 is about 636.1282819437.

The spelling of 257415156 in words is "two hundred fifty-seven million, four hundred fifteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 420613 841226 1261839 1682452 2523678 3785517 5047356 7150421 7571034 14300842 15142068 21451263 28601684 42902526 64353789 85805052 128707578 257415156