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55868616 = 233529991
BaseRepresentation
bin1101010100011…
…1110011001000
310220010102100000
43111013303020
5103300243431
65313243000
71245606156
oct325076310
9126112300
1055868616
1129599a11
1216863460
13b76166b
1475c43d6
154d889e6
hex3547cc8

55868616 has 96 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 17962560.

The previous prime is 55868591. The next prime is 55868623. The reversal of 55868616 is 61686855.

55868616 is a `hidden beast` number, since 5 + 586 + 8 + 61 + 6 = 666.

55868616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 55881 + ... + 56871.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 255868616 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 55868616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

55868616 is an abundant number, since it is smaller than the sum of its proper divisors (106620984).

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

55868616 is a wasteful number, since it uses less digits than its factorization.

55868616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1025 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 55868616 is about 7474.5311558652. The cubic root of 55868616 is about 382.2868016045.

The spelling of 55868616 in words is "fifty-five million, eight hundred sixty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 783 972 991 1044 1566 1944 1982 2088 2349 2973 3132 3964 4698 5946 6264 7047 7928 8919 9396 11892 14094 17838 18792 23784 26757 28188 28739 35676 53514 56376 57478 71352 80271 86217 107028 114956 160542 172434 214056 229912 240813 258651 321084 344868 481626 517302 642168 689736 775953 963252 1034604 1551906 1926504 2069208 2327859 3103812 4655718 6207624 6983577 9311436 13967154 18622872 27934308 55868616