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257252769 = 32231242767
BaseRepresentation
bin11110101010101…
…01110110100001
3122221001210110100
433111111312201
51011324042034
641305453013
76242420034
oct1725256641
9587053410
10257252769
111222378a4
12721a1169
13413b1997
142624701b
15178b8099
hexf555da1

257252769 has 12 divisors (see below), whose sum is σ = 387743616. Its totient is φ = 164045112.

The previous prime is 257252759. The next prime is 257252771. The reversal of 257252769 is 967252752.

257252769 is a `hidden beast` number, since 2 + 572 + 5 + 2 + 76 + 9 = 666.

It is not a de Polignac number, because 257252769 - 29 = 257252257 is a prime.

It is a super-2 number, since 2×2572527692 = 132357974316334722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257252759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621177 + ... + 621590.

It is an arithmetic number, because the mean of its divisors is an integer number (32311968).

Almost surely, 2257252769 is an apocalyptic number.

It is an amenable number.

257252769 is a deficient number, since it is larger than the sum of its proper divisors (130490847).

257252769 is a wasteful number, since it uses less digits than its factorization.

257252769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242796 (or 1242793 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 257252769 is about 16039.1012528757. The cubic root of 257252769 is about 635.9944893910.

The spelling of 257252769 in words is "two hundred fifty-seven million, two hundred fifty-two thousand, seven hundred sixty-nine".

Divisors: 1 3 9 23 69 207 1242767 3728301 11184903 28583641 85750923 257252769