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257666704 = 2440132
BaseRepresentation
bin11110101101110…
…10111010010000
3122221211211021021
433112322322100
51011430313304
641322405224
76246062611
oct1726727220
9587754237
10257666704
1112249a899
1272360814
13414c8209
1426313c08
151794aa54
hexf5bae90

257666704 has 15 divisors (see below), whose sum is σ = 499353673. Its totient is φ = 128801248.

The previous prime is 257666701. The next prime is 257666729. The reversal of 257666704 is 407666752.

The square root of 257666704 is 16052.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 216090000 + 41576704 = 14700^2 + 6448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257666701) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 62202 + ... + 66214.

Almost surely, 2257666704 is an apocalyptic number.

257666704 is the 16052-nd square number.

It is an amenable number.

257666704 is a deficient number, since it is larger than the sum of its proper divisors (241686969).

257666704 is an frugal number, since it uses more digits than its factorization.

257666704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8034 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The cubic root of 257666704 is about 636.3354242434.

The spelling of 257666704 in words is "two hundred fifty-seven million, six hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 4013 8026 16052 32104 64208 16104169 32208338 64416676 128833352 257666704