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257140062 = 23317216477
BaseRepresentation
bin11110101001110…
…10010101011110
3122220212001212000
433110322111132
51011311440222
641303223130
76241440324
oct1724722536
9586761760
10257140062
11122170153
1272147aa6
13413725aa
1426217d14
15178949ac
hexf53a55e

257140062 has 48 divisors (see below), whose sum is σ = 607049520. Its totient is φ = 80666496.

The previous prime is 257140057. The next prime is 257140073. The reversal of 257140062 is 260041752.

257140062 is a `hidden beast` number, since 257 + 1 + 400 + 6 + 2 = 666.

It is a super-2 number, since 2×2571400622 = 132242022970727688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7368 + ... + 23844.

It is an arithmetic number, because the mean of its divisors is an integer number (12646865).

Almost surely, 2257140062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257140062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303524760).

257140062 is an abundant number, since it is smaller than the sum of its proper divisors (349909458).

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

257140062 is a wasteful number, since it uses less digits than its factorization.

257140062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16522 (or 16499 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 257140062 is about 16035.5873606176. The cubic root of 257140062 is about 635.9015956689.

The spelling of 257140062 in words is "two hundred fifty-seven million, one hundred forty thousand, sixty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 289 306 459 578 867 918 1734 2601 5202 7803 15606 16477 32954 49431 98862 148293 280109 296586 444879 560218 840327 889758 1680654 2520981 4761853 5041962 7562943 9523706 14285559 15125886 28571118 42856677 85713354 128570031 257140062