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55688364 = 22336179107
BaseRepresentation
bin1101010001101…
…1110010101100
310212210021002000
43110123302230
5103224011424
65305332300
71244225514
oct324336254
9125707060
1055688364
1129486546
1216797090
13b6ca5c4
147578844
154d503c9
hex351bcac

55688364 has 96 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 17858880.

The previous prime is 55688351. The next prime is 55688377. The reversal of 55688364 is 46388655.

55688364 is a `hidden beast` number, since 5 + 568 + 83 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (55688351) and next prime (55688377).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520399 + ... + 520505.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 255688364 is an apocalyptic number.

55688364 is a gapful number since it is divisible by the number (54) 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 55688364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

55688364 is an abundant number, since it is smaller than the sum of its proper divisors (94302036).

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

55688364 is a wasteful number, since it uses less digits than its factorization.

55688364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 55688364 is about 7462.4636682533. The cubic root of 55688364 is about 381.8752276547.

The spelling of 55688364 in words is "fifty-five million, six hundred eighty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 79 107 108 122 158 183 214 237 244 316 321 366 428 474 549 642 711 732 948 963 1098 1284 1422 1647 1926 2133 2196 2844 2889 3294 3852 4266 4819 5778 6527 6588 8453 8532 9638 11556 13054 14457 16906 19276 19581 25359 26108 28914 33812 39162 43371 50718 57828 58743 76077 78324 86742 101436 117486 130113 152154 173484 176229 228231 234972 260226 304308 352458 456462 515633 520452 704916 912924 1031266 1546899 2062532 3093798 4640697 6187596 9281394 13922091 18562788 27844182 55688364