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257827068 = 22327161863
BaseRepresentation
bin11110101111000…
…10000011111100
3122222010222020200
433113202003330
51012000431233
641330043500
76250331262
oct1727420374
9588128220
10257827068
1112259a324
1272419590
13415531c5
1426356432
151797d313
hexf5e20fc

257827068 has 18 divisors (see below), whose sum is σ = 651729624. Its totient is φ = 85942344.

The previous prime is 257827051. The next prime is 257827103. The reversal of 257827068 is 860728752.

257827068 is a `hidden beast` number, since 2 + 578 + 2 + 70 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3580896 + ... + 3580967.

Almost surely, 2257827068 is an apocalyptic number.

It is an amenable number.

257827068 is an abundant number, since it is smaller than the sum of its proper divisors (393902556).

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

257827068 is a wasteful number, since it uses less digits than its factorization.

257827068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161873 (or 7161868 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 257827068 is about 16056.9943638279. The cubic root of 257827068 is about 636.4674088702.

It can be divided in two parts, 2578 and 27068, that added together give a triangular number (29646 = T243).

The spelling of 257827068 in words is "two hundred fifty-seven million, eight hundred twenty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 7161863 14323726 21485589 28647452 42971178 64456767 85942356 128913534 257827068