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93168064 = 2611253227
BaseRepresentation
bin1011000110110…
…10000111000000
320111022102120001
411203122013000
5142322334224
613124525344
72210626003
oct543320700
9214272501
1093168064
1148655600
1227250854
13163c0c42
14c53353a
1582a5544
hex58da1c0

93168064 has 84 divisors (see below), whose sum is σ = 207961992. Its totient is φ = 41367040.

The previous prime is 93168059. The next prime is 93168067. The reversal of 93168064 is 46086139.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93168067) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 410319 + ... + 410545.

It is an arithmetic number, because the mean of its divisors is an integer number (2475738).

Almost surely, 293168064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103980996).

93168064 is an abundant number, since it is smaller than the sum of its proper divisors (114793928).

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

93168064 is a wasteful number, since it uses less digits than its factorization.

93168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 93168064 is about 9652.3605403031. The cubic root of 93168064 is about 453.3382429303.

It can be divided in two parts, 9 and 3168064, that multiplied together give a triangular number (28512576 = T7551).

The spelling of 93168064 in words is "ninety-three million, one hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 121 176 212 227 242 352 424 454 484 583 704 848 908 968 1166 1696 1816 1936 2332 2497 3392 3632 3872 4664 4994 6413 7264 7744 9328 9988 12031 12826 14528 18656 19976 24062 25652 27467 37312 39952 48124 51304 54934 79904 96248 102608 109868 132341 159808 192496 205216 219736 264682 384992 410432 439472 529364 769984 878944 1058728 1455751 1757888 2117456 2911502 4234912 5823004 8469824 11646008 23292016 46584032 93168064