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57989568 = 2637133319
BaseRepresentation
bin1101110100110…
…1100111000000
311001010011201210
43131031213000
5104321131233
65430530120
71302621540
oct335154700
9131104653
1057989568
112a80846a
1217506940
13c024b70
1479b7320
155157163
hex374d9c0

57989568 has 112 divisors (see below), whose sum is σ = 188894720. Its totient is φ = 15289344.

The previous prime is 57989557. The next prime is 57989593. The reversal of 57989568 is 86598975.

57989568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 15813 + ... + 19131.

It is an arithmetic number, because the mean of its divisors is an integer number (1686560).

Almost surely, 257989568 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 57989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447360).

57989568 is an abundant number, since it is smaller than the sum of its proper divisors (130905152).

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

57989568 is a wasteful number, since it uses less digits than its factorization.

57989568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3344 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 57.

The square root of 57989568 is about 7615.0881807107. The cubic root of 57989568 is about 387.0644552086.

The spelling of 57989568 in words is "fifty-seven million, nine hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 3319 4368 5824 6638 8736 9957 13276 17472 19914 23233 26552 39828 43147 46466 53104 69699 79656 86294 92932 106208 129441 139398 159312 172588 185864 212416 258882 278796 302029 318624 345176 371728 517764 557592 604058 637248 690352 743456 906087 1035528 1115184 1208116 1380704 1486912 1812174 2071056 2230368 2416232 2761408 3624348 4142112 4460736 4832464 7248696 8284224 9664928 14497392 19329856 28994784 57989568