Search a number
-
+
57390732 = 22327534297
BaseRepresentation
bin1101101011101…
…1011010001100
310222222202021200
43122323122030
5104143000412
65410025500
71264545630
oct332733214
9128882250
1057390732
112a439563
1217278290
13bb75419
14789cdc0
1550899dc
hex36bb68c

57390732 has 72 divisors (see below), whose sum is σ = 168962976. Its totient is φ = 16084224.

The previous prime is 57390701. The next prime is 57390733. The reversal of 57390732 is 23709375.

It is a happy number.

It is a super-2 number, since 2×573907322 = 6587392238991648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (57390733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11208 + ... + 15504.

It is an arithmetic number, because the mean of its divisors is an integer number (2346708).

Almost surely, 257390732 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 57390732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84481488).

57390732 is an abundant number, since it is smaller than the sum of its proper divisors (111572244).

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

57390732 is a wasteful number, since it uses less digits than its factorization.

57390732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 57390732 is about 7575.6670993385. The cubic root of 57390732 is about 385.7274871437.

The spelling of 57390732 in words is "fifty-seven million, three hundred ninety thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4297 4452 6678 8594 12891 13356 17188 25782 30079 38673 51564 60158 77346 90237 120316 154692 180474 227741 270711 360948 455482 541422 683223 910964 1082844 1366446 1594187 2049669 2732892 3188374 4099338 4782561 6376748 8198676 9565122 14347683 19130244 28695366 57390732