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57139056 = 243213131233
BaseRepresentation
bin1101100111110…
…1111101110000
310222111222001100
43121331331300
5104111422211
65400404400
71262450112
oct331757560
9128458040
1057139056
112a287467
1217176700
13bab79c0
1478353b2
15503a156
hex367df70

57139056 has 120 divisors (see below), whose sum is σ = 174270096. Its totient is φ = 17372160.

The previous prime is 57139039. The next prime is 57139079. The reversal of 57139056 is 65093175.

It is a happy number.

57139056 is a `hidden beast` number, since 571 + 39 + 0 + 56 = 666.

It is a super-2 number, since 2×571390562 = 6529743441142272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57139056.

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, 245116 + ... + 245348.

Almost surely, 257139056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57139056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87135048).

57139056 is an abundant number, since it is smaller than the sum of its proper divisors (117131040).

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

57139056 is a wasteful number, since it uses less digits than its factorization.

57139056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 57139056 is about 7559.0380340358. The cubic root of 57139056 is about 385.1628163886.

The spelling of 57139056 in words is "fifty-seven million, one hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 131 144 156 208 233 234 262 312 393 466 468 524 624 699 786 932 936 1048 1179 1398 1572 1703 1864 1872 2096 2097 2358 2796 3029 3144 3406 3728 4194 4716 5109 5592 6058 6288 6812 8388 9087 9432 10218 11184 12116 13624 15327 16776 18174 18864 20436 24232 27248 27261 30523 30654 33552 36348 40872 48464 54522 61046 61308 72696 81744 91569 109044 122092 122616 145392 183138 218088 244184 245232 274707 366276 396799 436176 488368 549414 732552 793598 1098828 1190397 1465104 1587196 2197656 2380794 3174392 3571191 4395312 4761588 6348784 7142382 9523176 14284764 19046352 28569528 57139056