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257720568 = 23371534051
BaseRepresentation
bin11110101110010…
…00000011111000
3122221221120011020
433113020003320
51011434024233
641323502440
76246405630
oct1727100370
9587846136
10257720568
11122527306
1272387a20
13415168a1
14263296c0
151795b9b3
hexf5c80f8

257720568 has 32 divisors (see below), whose sum is σ = 736344960. Its totient is φ = 73634400.

The previous prime is 257720563. The next prime is 257720621. The reversal of 257720568 is 865027752.

257720568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257720563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766858 + ... + 767193.

It is an arithmetic number, because the mean of its divisors is an integer number (23010780).

Almost surely, 2257720568 is an apocalyptic number.

257720568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257720568 is an abundant number, since it is smaller than the sum of its proper divisors (478624392).

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

257720568 is a wasteful number, since it uses less digits than its factorization.

257720568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534067 (or 1534063 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 257720568 is about 16053.6777094845. The cubic root of 257720568 is about 636.3797621195.

The spelling of 257720568 in words is "two hundred fifty-seven million, seven hundred twenty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1534051 3068102 4602153 6136204 9204306 10738357 12272408 18408612 21476714 32215071 36817224 42953428 64430142 85906856 128860284 257720568