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57220384 = 2513263523
BaseRepresentation
bin1101101001000…
…1110100100000
310222200002121111
43122101310200
5104122023014
65402233104
71263236164
oct332216440
9128602544
1057220384
112a332581
12171b5794
13bb15a20
147856ca4
1550542c4
hex3691d20

57220384 has 48 divisors (see below), whose sum is σ = 122012352. Its totient is φ = 26258688.

The previous prime is 57220369. The next prime is 57220399. The reversal of 57220384 is 48302275.

It is an interprime number because it is at equal distance from previous prime (57220369) and next prime (57220399).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109147 + ... + 109669.

It is an arithmetic number, because the mean of its divisors is an integer number (2541924).

Almost surely, 257220384 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 57220384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61006176).

57220384 is an abundant number, since it is smaller than the sum of its proper divisors (64791968).

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

57220384 is a wasteful number, since it uses less digits than its factorization.

57220384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 57220384 is about 7564.4156416738. The cubic root of 57220384 is about 385.3454682891.

The spelling of 57220384 in words is "fifty-seven million, two hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 263 416 523 526 1046 1052 2092 2104 3419 4184 4208 6799 6838 8368 8416 13598 13676 16736 27196 27352 54392 54704 108784 109408 137549 217568 275098 550196 1100392 1788137 2200784 3576274 4401568 7152548 14305096 28610192 57220384