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93666342 = 23721122633
BaseRepresentation
bin1011001010100…
…11110000100110
320112020202001210
411211103300212
5142434310332
613143332250
72215102500
oct545236046
9215222053
1093666342
1148965a00
1227451086
1316536993
14c622d70
158352ecc
hex5953c26

93666342 has 72 divisors (see below), whose sum is σ = 239620248. Its totient is φ = 24319680.

The previous prime is 93666323. The next prime is 93666367. The reversal of 93666342 is 24366639.

It is a self number, because there is not a number n which added to its sum of digits gives 93666342.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 34258 + ... + 36890.

It is an arithmetic number, because the mean of its divisors is an integer number (3328059).

Almost surely, 293666342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93666342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119810124).

93666342 is an abundant number, since it is smaller than the sum of its proper divisors (145953906).

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

93666342 is a wasteful number, since it uses less digits than its factorization.

93666342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2656 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 93666342 is about 9678.1373207865. The cubic root of 93666342 is about 454.1449820619.

It can be divided in two parts, 93 and 666342, that added together give a triangular number (666435 = T1154).

The spelling of 93666342 in words is "ninety-three million, six hundred sixty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 726 847 1078 1617 1694 2541 2633 3234 5082 5266 5929 7899 11858 15798 17787 18431 28963 35574 36862 55293 57926 86889 110586 129017 173778 202741 258034 318593 387051 405482 608223 637186 774102 955779 1216446 1419187 1911558 2230151 2838374 4257561 4460302 6690453 8515122 13380906 15611057 31222114 46833171 93666342