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56552166 = 232111753317
BaseRepresentation
bin1101011110111…
…0101011100110
310221102010222200
43113232223212
5103434132131
65340035330
71254454056
oct327565346
9127363880
1056552166
1129a16530
1216b32b46
13b940828
147721566
154e712e6
hex35eeae6

56552166 has 96 divisors (see below), whose sum is σ = 144656928. Its totient is φ = 15774720.

The previous prime is 56552159. The next prime is 56552191. The reversal of 56552166 is 66125565.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 56552166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178240 + ... + 178556.

It is an arithmetic number, because the mean of its divisors is an integer number (1506843).

Almost surely, 256552166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56552166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72328464).

56552166 is an abundant number, since it is smaller than the sum of its proper divisors (88104762).

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

56552166 is a wasteful number, since it uses less digits than its factorization.

56552166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 403 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 56552166 is about 7520.1174192961. The cubic root of 56552166 is about 383.8395732861.

The spelling of 56552166 in words is "fifty-six million, five hundred fifty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 53 66 99 102 106 153 159 187 198 306 317 318 374 477 561 583 634 901 951 954 1122 1166 1683 1749 1802 1902 2703 2853 3366 3487 3498 5247 5389 5406 5706 6974 8109 9911 10461 10494 10778 16167 16218 16801 19822 20922 29733 31383 32334 33602 48501 50403 59279 59466 62766 89199 97002 100806 118558 151209 177837 178398 184811 285617 302418 355674 369622 533511 554433 571234 856851 1067022 1108866 1663299 1713702 2570553 3141787 3326598 5141106 6283574 9425361 18850722 28276083 56552166