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57354216 = 23331127607
BaseRepresentation
bin1101101011001…
…0011111101000
310222220220012020
43122302133220
5104140313331
65405144440
71264334313
oct332623750
9128826166
1057354216
112a414087
121725b120
13bb6190a
14788d97a
15507dc96
hex36b27e8

57354216 has 64 divisors (see below), whose sum is σ = 149422080. Its totient is φ = 18325440.

The previous prime is 57354191. The next prime is 57354221. The reversal of 57354216 is 61245375.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94185 + ... + 94791.

It is an arithmetic number, because the mean of its divisors is an integer number (2334720).

Almost surely, 257354216 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 57354216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74711040).

57354216 is an abundant number, since it is smaller than the sum of its proper divisors (92067864).

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

57354216 is a wasteful number, since it uses less digits than its factorization.

57354216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 770 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 57354216 is about 7573.2566310670. The cubic root of 57354216 is about 385.6456608463.

The spelling of 57354216 in words is "fifty-seven million, three hundred fifty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 127 186 248 254 372 381 508 607 744 762 1016 1214 1524 1821 2428 3048 3642 3937 4856 7284 7874 11811 14568 15748 18817 23622 31496 37634 47244 56451 75268 77089 94488 112902 150536 154178 225804 231267 308356 451608 462534 616712 925068 1850136 2389759 4779518 7169277 9559036 14338554 19118072 28677108 57354216