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257900368 = 24112133213
BaseRepresentation
bin11110101111100…
…11111101010000
3122222021200210111
433113303331100
51012010302433
641331411104
76251055055
oct1727637520
9588250714
10257900368
1112263a400
1272453a94
134157a68b
142637502c
1517994dcd
hexf5f3f50

257900368 has 30 divisors (see below), whose sum is σ = 549241322. Its totient is φ = 117226560.

The previous prime is 257900351. The next prime is 257900381. The reversal of 257900368 is 863009752.

It can be written as a sum of positive squares in only one way, i.e., 255104784 + 2795584 = 15972^2 + 1672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 257900368.

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, 64671 + ... + 68542.

Almost surely, 2257900368 is an apocalyptic number.

It is an amenable number.

257900368 is an abundant number, since it is smaller than the sum of its proper divisors (291340954).

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

257900368 is a wasteful number, since it uses less digits than its factorization.

257900368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133243 (or 133226 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 257900368 is about 16059.2766960408. The cubic root of 257900368 is about 636.5277188563.

The spelling of 257900368 in words is "two hundred fifty-seven million, nine hundred thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 133213 266426 532852 1065704 1465343 2131408 2930686 5861372 11722744 16118773 23445488 32237546 64475092 128950184 257900368