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57348352 = 28832699
BaseRepresentation
bin1101101011000…
…1000100000000
310222220121011001
43122301010000
5104140121402
65405101344
71264311235
oct332610400
9128817131
1057348352
112a40a736
1217257854
13bb5c049
14788b78c
15507c187
hex36b1100

57348352 has 36 divisors (see below), whose sum is σ = 115894800. Its totient is φ = 28318208.

The previous prime is 57348331. The next prime is 57348359. The reversal of 57348352 is 25384375.

It is not an unprimeable number, because it can be changed into a prime (57348359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19899 + ... + 22597.

It is an arithmetic number, because the mean of its divisors is an integer number (3219300).

Almost surely, 257348352 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 57348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57947400).

57348352 is an abundant number, since it is smaller than the sum of its proper divisors (58546448).

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

57348352 is an equidigital number, since it uses as much as digits as its factorization.

57348352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2784 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The square root of 57348352 is about 7572.8694693623. The cubic root of 57348352 is about 385.6325173590.

The spelling of 57348352 in words is "fifty-seven million, three hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 664 1328 2656 2699 5312 5398 10624 10796 21248 21592 43184 86368 172736 224017 345472 448034 690944 896068 1792136 3584272 7168544 14337088 28674176 57348352