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257163888 = 2435357581
BaseRepresentation
bin11110101010000…
…00001001110000
3122220220021112110
433111000021300
51011313221023
641303525320
76241566642
oct1725001160
9586807473
10257163888
11122187043
1272159840
13413803a7
1426222892
151789ba93
hexf540270

257163888 has 20 divisors (see below), whose sum is σ = 664340168. Its totient is φ = 85721280.

The previous prime is 257163887. The next prime is 257163899. The reversal of 257163888 is 888361752.

It is a super-2 number, since 2×2571638882 = 132266530582553088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 5357581 = 257163888 / (2 + 5 + 7 + 1 + 6 + 3 + 8 + 8 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257163883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2678743 + ... + 2678838.

Almost surely, 2257163888 is an apocalyptic number.

It is an amenable number.

257163888 is an abundant number, since it is smaller than the sum of its proper divisors (407176280).

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

257163888 is a wasteful number, since it uses less digits than its factorization.

257163888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357592 (or 5357586 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 257163888 is about 16036.3302535212. The cubic root of 257163888 is about 635.9212354498.

The spelling of 257163888 in words is "two hundred fifty-seven million, one hundred sixty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 5357581 10715162 16072743 21430324 32145486 42860648 64290972 85721296 128581944 257163888