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257025996 = 2232196132
BaseRepresentation
bin11110101000111…
…10011111001100
3122220122021101100
433110132133030
51011244312441
641300543100
76240453633
oct1724363714
9586567340
10257025996
111220a2487
12720b1a90
13413326b6
14261c851a
1517870cb6
hexf51e7cc

257025996 has 54 divisors (see below), whose sum is σ = 685017060. Its totient is φ = 81033696.

The previous prime is 257025983. The next prime is 257026031. The reversal of 257025996 is 699520752.

257025996 is a `hidden beast` number, since 2 + 57 + 0 + 2 + 599 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 418986 + ... + 419598.

Almost surely, 2257025996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257025996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342508530).

257025996 is an abundant number, since it is smaller than the sum of its proper divisors (427991064).

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

257025996 is a wasteful number, since it uses less digits than its factorization.

257025996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 257025996 is about 16032.0303143426. The cubic root of 257025996 is about 635.8075542104.

The spelling of 257025996 in words is "two hundred fifty-seven million, twenty-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 613 684 1226 1839 2452 3678 5517 7356 11034 11647 22068 23294 34941 46588 69882 104823 139764 209646 375769 419292 751538 1127307 1503076 2254614 3381921 4509228 6763842 7139611 13527684 14279222 21418833 28558444 42837666 64256499 85675332 128512998 257025996