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57225808 = 2417613449
BaseRepresentation
bin1101101001001…
…1001001010000
310222200101001101
43122103021100
5104122211213
65402314144
71263261043
oct332231120
9128611041
1057225808
112a336662
12171b8954
13bb18333
147858c5a
155055bdd
hex3693250

57225808 has 40 divisors (see below), whose sum is σ = 119356200. Its totient is φ = 26480640.

The previous prime is 57225797. The next prime is 57225809. The reversal of 57225808 is 80852275.

It can be written as a sum of positive squares in 4 ways, for example, as 795664 + 56430144 = 892^2 + 7512^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57225809) by changing a digit.

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, 14868 + ... + 18316.

It is an arithmetic number, because the mean of its divisors is an integer number (2983905).

Almost surely, 257225808 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 57225808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59678100).

57225808 is an abundant number, since it is smaller than the sum of its proper divisors (62130392).

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

57225808 is a wasteful number, since it uses less digits than its factorization.

57225808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 57225808 is about 7564.7741539322. The cubic root of 57225808 is about 385.3576437158.

The spelling of 57225808 in words is "fifty-seven million, two hundred twenty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 2074 3449 4148 6898 8296 13796 16592 27592 55184 58633 117266 210389 234532 420778 469064 841556 938128 1683112 3366224 3576613 7153226 14306452 28612904 57225808