Search a number
-
+
57682368 = 26353709
BaseRepresentation
bin1101110000001…
…0100111000000
311000112120100000
43130002213000
5104231313433
65420200000
71300202112
oct334024700
9130476300
1057682368
112a618687
1217399000
13bc480a3
1479373b2
1550e6113
hex37029c0

57682368 has 84 divisors (see below), whose sum is σ = 171505880. Its totient is φ = 19222272.

The previous prime is 57682357. The next prime is 57682379. The reversal of 57682368 is 86328675.

It is an interprime number because it is at equal distance from previous prime (57682357) and next prime (57682379).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13698 + ... + 17406.

Almost surely, 257682368 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 57682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85752940).

57682368 is an abundant number, since it is smaller than the sum of its proper divisors (113823512).

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

57682368 is an equidigital number, since it uses as much as digits as its factorization.

57682368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3714 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 57682368 is about 7594.8909142923. The cubic root of 57682368 is about 386.3797528066.

It can be divided in two parts, 576 and 82368, that added together give a square (82944 = 2882).

The spelling of 57682368 in words is "fifty-seven million, six hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3709 3888 5184 7418 7776 11127 14836 15552 22254 29672 33381 44508 59344 66762 89016 100143 118688 133524 178032 200286 237376 267048 300429 356064 400572 534096 600858 712128 801144 901287 1068192 1201716 1602288 1802574 2136384 2403432 3204576 3605148 4806864 6409152 7210296 9613728 14420592 19227456 28841184 57682368