Search a number
-
+
57457932 = 223729103229
BaseRepresentation
bin1101101100101…
…1110100001100
311000010011110120
43123023310030
5104202123212
65411304540
71265245560
oct333136414
9130104416
1057457932
112a484aa4
12172ab150
13bb99b9c
1478b96a0
15509e88c
hex36cbd0c

57457932 has 96 divisors (see below), whose sum is σ = 160742400. Its totient is φ = 15628032.

The previous prime is 57457931. The next prime is 57457951. The reversal of 57457932 is 23975475.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57457931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250794 + ... + 251022.

It is an arithmetic number, because the mean of its divisors is an integer number (1674400).

Almost surely, 257457932 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 57457932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80371200).

57457932 is an abundant number, since it is smaller than the sum of its proper divisors (103284468).

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

57457932 is a wasteful number, since it uses less digits than its factorization.

57457932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its digits is 264600, while the sum is 42.

The square root of 57457932 is about 7580.1010547354. The cubic root of 57457932 is about 385.8779805289.

The spelling of 57457932 in words is "fifty-seven million, four hundred fifty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 103 116 174 203 206 229 309 348 406 412 458 609 618 687 721 812 916 1218 1236 1374 1442 1603 2163 2436 2748 2884 2987 3206 4326 4809 5974 6412 6641 8652 8961 9618 11948 13282 17922 19236 19923 20909 23587 26564 35844 39846 41818 46487 47174 62727 70761 79692 83636 92974 94348 125454 139461 141522 165109 185948 250908 278922 283044 330218 495327 557844 660436 684023 990654 1368046 1981308 2052069 2736092 4104138 4788161 8208276 9576322 14364483 19152644 28728966 57457932