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257238044 = 22725324763
BaseRepresentation
bin11110101010100…
…10010000011100
3122221001001020222
433111102100130
51011323104134
641305300512
76242326100
oct1725222034
9587031228
10257238044
11122227828
1272194738
13413a807b
1426241900
15178b3a2e
hexf55241c

257238044 has 36 divisors (see below), whose sum is σ = 533565144. Its totient is φ = 108160416.

The previous prime is 257238043. The next prime is 257238127. The reversal of 257238044 is 440832752.

It is a super-2 number, since 2×2572380442 = 132342822561891872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257237995 and 257238013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257238043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1994 + ... + 22769.

It is an arithmetic number, because the mean of its divisors is an integer number (14821254).

Almost surely, 2257238044 is an apocalyptic number.

It is an amenable number.

257238044 is an abundant number, since it is smaller than the sum of its proper divisors (276327100).

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

257238044 is a wasteful number, since it uses less digits than its factorization.

257238044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24834 (or 24825 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 257238044 is about 16038.6422118582. The cubic root of 257238044 is about 635.9823545069.

The spelling of 257238044 in words is "two hundred fifty-seven million, two hundred thirty-eight thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 5194 10388 24763 49526 99052 173341 346682 693364 1213387 1312439 2426774 2624878 4853548 5249756 9187073 18374146 36748292 64309511 128619022 257238044