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55359882 = 2331979683
BaseRepresentation
bin1101001100101…
…1100110001010
310212011120111000
43103023212022
5103133004012
65254315430
71241360034
oct323134612
9125146430
1055359882
1129281776
1216658b76
13b613c36
1474d0c54
154cd7ddc
hex34cb98a

55359882 has 64 divisors (see below), whose sum is σ = 131328000. Its totient is φ = 17235504.

The previous prime is 55359847. The next prime is 55359883. The reversal of 55359882 is 28895355.

55359882 is a `hidden beast` number, since 5 + 53 + 598 + 8 + 2 = 666.

55359882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55359883) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 80713 + ... + 81395.

It is an arithmetic number, because the mean of its divisors is an integer number (2052000).

Almost surely, 255359882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55359882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65664000).

55359882 is an abundant number, since it is smaller than the sum of its proper divisors (75968118).

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

55359882 is a wasteful number, since it uses less digits than its factorization.

55359882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 55359882 is about 7440.4221654420. The cubic root of 55359882 is about 381.1229065933.

The spelling of 55359882 in words is "fifty-five million, three hundred fifty-nine thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 79 114 158 171 237 342 474 513 683 711 1026 1366 1422 1501 2049 2133 3002 4098 4266 4503 6147 9006 12294 12977 13509 18441 25954 27018 36882 38931 40527 53957 77862 81054 107914 116793 161871 233586 323742 350379 485613 700758 971226 1025183 1456839 2050366 2913678 3075549 6151098 9226647 18453294 27679941 55359882