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57334752 = 2532227877
BaseRepresentation
bin1101101010110…
…1101111100000
310222212220111100
43122231233200
5104134203002
65404514400
71264223466
oct332555740
9128786440
1057334752
112a4004a2
121724ba00
13bb55ab7
147886836
15507811c
hex36adbe0

57334752 has 72 divisors (see below), whose sum is σ = 163950696. Its totient is φ = 19005696.

The previous prime is 57334751. The next prime is 57334757. The reversal of 57334752 is 25743375.

57334752 is a `hidden beast` number, since 573 + 34 + 7 + 52 = 666.

57334752 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57334751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64938 + ... + 65814.

It is an arithmetic number, because the mean of its divisors is an integer number (2277093).

Almost surely, 257334752 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 57334752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81975348).

57334752 is an abundant number, since it is smaller than the sum of its proper divisors (106615944).

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

57334752 is a wasteful number, since it uses less digits than its factorization.

57334752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1109 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 57334752 is about 7571.9714737973. The cubic root of 57334752 is about 385.6020310609.

The spelling of 57334752 in words is "fifty-seven million, three hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 454 681 877 908 1362 1754 1816 2043 2631 2724 3508 3632 4086 5262 5448 7016 7264 7893 8172 10524 10896 14032 15786 16344 21048 21792 28064 31572 32688 42096 63144 65376 84192 126288 199079 252576 398158 597237 796316 1194474 1592632 1791711 2388948 3185264 3583422 4777896 6370528 7166844 9555792 14333688 19111584 28667376 57334752