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55710768 = 24317671019
BaseRepresentation
bin1101010010000…
…1010000110000
310212211101210210
43110201100300
5103230221033
65310024120
71244351031
oct324412060
9125741723
1055710768
11294a1363
12167a8040
13b707869
147582a88
154d56d63
hex3521430

55710768 has 80 divisors (see below), whose sum is σ = 154811520. Its totient is φ = 17200128.

The previous prime is 55710749. The next prime is 55710773. The reversal of 55710768 is 86701755.

It is a super-2 number, since 2×557107682 = 6207379342299648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54163 + ... + 55181.

It is an arithmetic number, because the mean of its divisors is an integer number (1935144).

Almost surely, 255710768 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 55710768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77405760).

55710768 is an abundant number, since it is smaller than the sum of its proper divisors (99100752).

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

55710768 is a wasteful number, since it uses less digits than its factorization.

55710768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 55710768 is about 7463.9646301413. The cubic root of 55710768 is about 381.9264315623.

It can be divided in two parts, 557 and 10768, that added together give a triangular number (11325 = T150).

The spelling of 55710768 in words is "fifty-five million, seven hundred ten thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 134 136 201 204 268 272 402 408 536 804 816 1019 1072 1139 1608 2038 2278 3057 3216 3417 4076 4556 6114 6834 8152 9112 12228 13668 16304 17323 18224 24456 27336 34646 48912 51969 54672 68273 69292 103938 136546 138584 204819 207876 273092 277168 409638 415752 546184 819276 831504 1092368 1160641 1638552 2321282 3277104 3481923 4642564 6963846 9285128 13927692 18570256 27855384 55710768