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57393882 = 23271337947
BaseRepresentation
bin1101101011110…
…0001011011010
310222222220121100
43122330023122
5104143101012
65410052230
71264561050
oct332741332
9128886540
1057393882
112a440967
121727a076
13bb769a0
1478a01d0
15508a8dc
hex36bc2da

57393882 has 96 divisors (see below), whose sum is σ = 157352832. Its totient is φ = 14712192.

The previous prime is 57393877. The next prime is 57393907. The reversal of 57393882 is 28839375.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60133 + ... + 61079.

It is an arithmetic number, because the mean of its divisors is an integer number (1639092).

Almost surely, 257393882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57393882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78676416).

57393882 is an abundant number, since it is smaller than the sum of its proper divisors (99958950).

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

57393882 is a wasteful number, since it uses less digits than its factorization.

57393882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1009 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 57393882 is about 7575.8749989688. The cubic root of 57393882 is about 385.7345441447.

The spelling of 57393882 in words is "fifty-seven million, three hundred ninety-three thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 63 74 78 91 111 117 126 182 222 234 259 273 333 481 518 546 666 777 819 947 962 1443 1554 1638 1894 2331 2841 2886 3367 4329 4662 5682 6629 6734 8523 8658 10101 12311 13258 17046 19887 20202 24622 30303 35039 36933 39774 59661 60606 70078 73866 86177 105117 110799 119322 172354 210234 221598 245273 258531 315351 455507 490546 517062 630702 735819 775593 911014 1366521 1471638 1551186 2207457 2733042 3188549 4099563 4414914 6377098 8199126 9565647 19131294 28696941 57393882