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57313056 = 25323101257
BaseRepresentation
bin1101101010100…
…0011100100000
310222211210201210
43122220130200
5104133004211
65404230120
71264103313
oct332503440
9128753653
1057313056
112a396169
121723b340
13bb48c68
14787c97a
1550719a6
hex36a8720

57313056 has 96 divisors (see below), whose sum is σ = 159159168. Its totient is φ = 18022400.

The previous prime is 57313043. The next prime is 57313093. The reversal of 57313056 is 65031375.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 222880 + ... + 223136.

It is an arithmetic number, because the mean of its divisors is an integer number (1657908).

Almost surely, 257313056 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 57313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79579584).

57313056 is an abundant number, since it is smaller than the sum of its proper divisors (101846112).

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

57313056 is a wasteful number, since it uses less digits than its factorization.

57313056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 57313056 is about 7570.5386862495. The cubic root of 57313056 is about 385.5533864672.

The spelling of 57313056 in words is "fifty-seven million, three hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 101 138 184 202 257 276 303 368 404 514 552 606 736 771 808 1028 1104 1212 1542 1616 2056 2208 2323 2424 3084 3232 4112 4646 4848 5911 6168 6969 8224 9292 9696 11822 12336 13938 17733 18584 23644 24672 25957 27876 35466 37168 47288 51914 55752 70932 74336 77871 94576 103828 111504 141864 155742 189152 207656 223008 283728 311484 415312 567456 597011 622968 830624 1194022 1245936 1791033 2388044 2491872 3582066 4776088 7164132 9552176 14328264 19104352 28656528 57313056