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257398083 = 32236012069
BaseRepresentation
bin11110101011110…
…01010101000011
3122221100011210100
433111321111003
51011343214313
641312533443
76243563505
oct1725712503
9587304710
10257398083
11122326a98
1272251283
1341432b77
1426283d75
15178e6173
hexf579543

257398083 has 24 divisors (see below), whose sum is σ = 388795680. Its totient is φ = 163785600.

The previous prime is 257398021. The next prime is 257398091. The reversal of 257398083 is 380893752.

257398083 is a `hidden beast` number, since 257 + 398 + 0 + 8 + 3 = 666.

It is not a de Polignac number, because 257398083 - 28 = 257397827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257398283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123373 + ... + 125441.

It is an arithmetic number, because the mean of its divisors is an integer number (16199820).

Almost surely, 2257398083 is an apocalyptic number.

257398083 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

257398083 is a deficient number, since it is larger than the sum of its proper divisors (131397597).

257398083 is a wasteful number, since it uses less digits than its factorization.

257398083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 257398083 is about 16043.6306053212. The cubic root of 257398083 is about 636.1142179463.

The spelling of 257398083 in words is "two hundred fifty-seven million, three hundred ninety-eight thousand, eighty-three".

Divisors: 1 3 9 23 69 207 601 1803 2069 5409 6207 13823 18621 41469 47587 124407 142761 428283 1243469 3730407 11191221 28599787 85799361 257398083