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257475372 = 223711674159
BaseRepresentation
bin11110101100011…
…00001100101100
3122221111002210220
433112030030230
51011403202442
641314331340
76244335030
oct1726141454
9587432726
10257475372
1112237a070
1272289b50
134145c0bb
14262a41c0
151790deec
hexf58c32c

257475372 has 96 divisors (see below), whose sum is σ = 760381440. Its totient is φ = 65862720.

The previous prime is 257475371. The next prime is 257475373. The reversal of 257475372 is 273574752.

It is a happy number.

257475372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257475371) and next prime (257475373).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (257475371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59829 + ... + 63987.

It is an arithmetic number, because the mean of its divisors is an integer number (7920640).

Almost surely, 2257475372 is an apocalyptic number.

257475372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257475372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380190720).

257475372 is an abundant number, since it is smaller than the sum of its proper divisors (502906068).

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

257475372 is a wasteful number, since it uses less digits than its factorization.

257475372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4249 counting only the distinct ones).

The product of its digits is 411600, while the sum is 42.

The square root of 257475372 is about 16046.0391374320. The cubic root of 257475372 is about 636.1778803108.

The spelling of 257475372 in words is "two hundred fifty-seven million, four hundred seventy-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 67 77 84 132 134 154 201 231 268 308 402 462 469 737 804 924 938 1407 1474 1876 2211 2814 2948 4159 4422 5159 5628 8318 8844 10318 12477 15477 16636 20636 24954 29113 30954 45749 49908 58226 61908 87339 91498 116452 137247 174678 182996 274494 278653 320243 349356 548988 557306 640486 835959 960729 1114612 1280972 1671918 1921458 1950571 3065183 3343836 3842916 3901142 5851713 6130366 7802284 9195549 11703426 12260732 18391098 21456281 23406852 36782196 42912562 64368843 85825124 128737686 257475372