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57322096 = 24132172943
BaseRepresentation
bin1101101010101…
…0101001110000
310222212021010121
43122222221300
5104133301341
65404340024
71264141546
oct332525160
9128767117
1057322096
112a3a1a37
1217244614
13bb50100
147881d96
1550744d1
hex36aaa70

57322096 has 120 divisors (see below), whose sum is σ = 134790480. Its totient is φ = 23482368.

The previous prime is 57322081. The next prime is 57322117. The reversal of 57322096 is 69022375.

It is a happy number.

57322096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1333051 + ... + 1333093.

It is an arithmetic number, because the mean of its divisors is an integer number (1123254).

Almost surely, 257322096 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 57322096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67395240).

57322096 is an abundant number, since it is smaller than the sum of its proper divisors (77468384).

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

57322096 is a wasteful number, since it uses less digits than its factorization.

57322096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 57322096 is about 7571.1357140128. The cubic root of 57322096 is about 385.5736565395.

The spelling of 57322096 in words is "fifty-seven million, three hundred twenty-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 17 26 29 34 43 52 58 68 86 104 116 136 169 172 208 221 232 272 338 344 377 442 464 493 559 676 688 731 754 884 986 1118 1247 1352 1462 1508 1768 1972 2236 2494 2704 2873 2924 3016 3536 3944 4472 4901 4988 5746 5848 6032 6409 7267 7888 8944 9503 9802 9976 11492 11696 12818 14534 16211 19006 19604 19952 21199 22984 25636 29068 32422 38012 39208 42398 45968 51272 58136 64844 76024 78416 83317 84796 102544 116272 123539 129688 152048 166634 169592 210743 247078 259376 275587 333268 339184 421486 494156 551174 666536 842972 988312 1102348 1333072 1685944 1976624 2204696 3371888 3582631 4409392 7165262 14330524 28661048 57322096