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57352374 = 235196211
BaseRepresentation
bin1101101011001…
…0000010110110
310222220210200000
43122302002312
5104140233444
65405132130
71264326042
oct332620266
9128823600
1057352374
112a412762
121725a046
13bb60b21
14788d022
15507d469
hex36b20b6

57352374 has 48 divisors (see below), whose sum is σ = 135670080. Its totient is φ = 18108360.

The previous prime is 57352369. The next prime is 57352417. The reversal of 57352374 is 47325375.

57352374 is a `hidden beast` number, since 573 + 52 + 37 + 4 = 666.

57352374 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 23 ways as a sum of consecutive naturals, for example, 6129 + ... + 12339.

It is an arithmetic number, because the mean of its divisors is an integer number (2826460).

Almost surely, 257352374 is an apocalyptic number.

57352374 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57352374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67835040).

57352374 is an abundant number, since it is smaller than the sum of its proper divisors (78317706).

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

57352374 is a wasteful number, since it uses less digits than its factorization.

57352374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6235 counting only the distinct ones).

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

The square root of 57352374 is about 7573.1350179434. The cubic root of 57352374 is about 385.6415323099.

The spelling of 57352374 in words is "fifty-seven million, three hundred fifty-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 6211 9234 12422 18633 37266 55899 111798 118009 167697 236018 335394 354027 503091 708054 1006182 1062081 1509273 2124162 3018546 3186243 6372486 9558729 19117458 28676187 57352374