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57889216 = 2671117691
BaseRepresentation
bin1101110011010…
…1000111000000
311000221002002001
43130311013000
5104304423331
65424433344
71302023140
oct334650700
9130832061
1057889216
112a74a030
1217478854
13bcbb298
14798c920
155137561
hex37351c0

57889216 has 112 divisors (see below), whose sum is σ = 151863552. Its totient is φ = 21196800.

The previous prime is 57889187. The next prime is 57889217. The reversal of 57889216 is 61298875.

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

It is a super-2 number, since 2×578892162 = 6702322658189312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57889217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83431 + ... + 84121.

Almost surely, 257889216 is an apocalyptic number.

57889216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75931776).

57889216 is an abundant number, since it is smaller than the sum of its proper divisors (93974336).

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

57889216 is a wasteful number, since it uses less digits than its factorization.

57889216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 728 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The square root of 57889216 is about 7608.4963034755. The cubic root of 57889216 is about 386.8410522695.

The spelling of 57889216 in words is "fifty-seven million, eight hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 448 476 544 616 691 704 748 952 1088 1232 1309 1382 1496 1904 2464 2618 2764 2992 3808 4837 4928 5236 5528 5984 7601 7616 9674 10472 11056 11747 11968 15202 19348 20944 22112 23494 30404 38696 41888 44224 46988 53207 60808 77392 82229 83776 93976 106414 121616 129217 154784 164458 187952 212828 243232 258434 309568 328916 375904 425656 486464 516868 657832 751808 851312 904519 1033736 1315664 1702624 1809038 2067472 2631328 3405248 3618076 4134944 5262656 7236152 8269888 14472304 28944608 57889216