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257413044 = 223710130341
BaseRepresentation
bin11110101011111…
…00111110110100
3122221100221022110
433111330332310
51011344204134
641313131020
76243655230
oct1725747664
9587327273
10257413044
11122337259
1272259a70
1341439915
14262895c0
15178ea7e9
hexf57cfb4

257413044 has 48 divisors (see below), whose sum is σ = 693254016. Its totient is φ = 72816000.

The previous prime is 257413027. The next prime is 257413087. The reversal of 257413044 is 440314752.

It is a super-2 number, since 2×2574130442 = 132522950442691872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6687 + ... + 23654.

It is an arithmetic number, because the mean of its divisors is an integer number (14442792).

Almost surely, 2257413044 is an apocalyptic number.

It is an amenable number.

257413044 is an abundant number, since it is smaller than the sum of its proper divisors (435840972).

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

257413044 is a wasteful number, since it uses less digits than its factorization.

257413044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30456 (or 30454 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 257413044 is about 16044.0968583464. The cubic root of 257413044 is about 636.1265422034.

Adding to 257413044 its reverse (440314752), we get a palindrome (697727796).

The spelling of 257413044 in words is "two hundred fifty-seven million, four hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 4242 8484 30341 60682 91023 121364 182046 212387 364092 424774 637161 849548 1274322 2548644 3064441 6128882 9193323 12257764 18386646 21451087 36773292 42902174 64353261 85804348 128706522 257413044