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57270752 = 2571122113
BaseRepresentation
bin1101101001111…
…0000111100000
310222202122200222
43122132013200
5104130131002
65403302212
71263536060
oct332360740
9128678628
1057270752
112a367400
121721a968
13bb32926
14786b3a0
1550641a2
hex369e1e0

57270752 has 72 divisors (see below), whose sum is σ = 141705648. Its totient is φ = 22302720.

The previous prime is 57270749. The next prime is 57270767. The reversal of 57270752 is 25707275.

57270752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26048 + ... + 28160.

It is an arithmetic number, because the mean of its divisors is an integer number (1968134).

Almost surely, 257270752 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 57270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70852824).

57270752 is an abundant number, since it is smaller than the sum of its proper divisors (84434896).

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

57270752 is a wasteful number, since it uses less digits than its factorization.

57270752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 35.

The square root of 57270752 is about 7567.7441817228. The cubic root of 57270752 is about 385.4585013672.

The spelling of 57270752 in words is "fifty-seven million, two hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2113 2464 3388 3872 4226 6776 8452 13552 14791 16904 23243 27104 29582 33808 46486 59164 67616 92972 118328 162701 185944 236656 255673 325402 371888 473312 511346 650804 743776 1022692 1301608 1789711 2045384 2603216 3579422 4090768 5206432 7158844 8181536 14317688 28635376 57270752