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55004166 = 2327359151
BaseRepresentation
bin1101000111010…
…0110000000110
310211111111112100
43101310300012
5103040113131
65242532530
71235346000
oct321646006
9124444470
1055004166
1129059498
1216507146
13b51b059
14743b370
154c677e6
hex3474c06

55004166 has 96 divisors (see below), whose sum is σ = 142272000. Its totient is φ = 15346800.

The previous prime is 55004101. The next prime is 55004171. The reversal of 55004166 is 66140055.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364191 + ... + 364341.

It is an arithmetic number, because the mean of its divisors is an integer number (1482000).

Almost surely, 255004166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55004166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71136000).

55004166 is an abundant number, since it is smaller than the sum of its proper divisors (87267834).

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

55004166 is a wasteful number, since it uses less digits than its factorization.

55004166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55004166 is about 7416.4793534399. The cubic root of 55004166 is about 380.3048477125.

The spelling of 55004166 in words is "fifty-five million, four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 59 63 98 118 126 147 151 177 294 302 343 354 413 441 453 531 686 826 882 906 1029 1057 1062 1239 1359 2058 2114 2478 2718 2891 3087 3171 3717 5782 6174 6342 7399 7434 8673 8909 9513 14798 17346 17818 19026 20237 22197 26019 26727 40474 44394 51793 52038 53454 60711 62363 66591 80181 103586 121422 124726 133182 155379 160362 182133 187089 310758 364266 374178 436541 466137 561267 873082 932274 1122534 1309623 2619246 3055787 3928869 6111574 7857738 9167361 18334722 27502083 55004166