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93288104 = 237131271009
BaseRepresentation
bin1011000111101…
…11011010101000
320111112112012222
411203313122220
5142340204404
613131253212
72211635660
oct543673250
9214475188
1093288104
1148727808
12272aa208
1316433780
14c5651a0
1582cadbe
hex58f76a8

93288104 has 64 divisors (see below), whose sum is σ = 217190400. Its totient is φ = 36578304.

The previous prime is 93288103. The next prime is 93288121. The reversal of 93288104 is 40188239.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (93288103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91952 + ... + 92960.

It is an arithmetic number, because the mean of its divisors is an integer number (3393600).

Almost surely, 293288104 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 93288104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108595200).

93288104 is an abundant number, since it is smaller than the sum of its proper divisors (123902296).

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

93288104 is a wasteful number, since it uses less digits than its factorization.

93288104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 93288104 is about 9658.5767067410. The cubic root of 93288104 is about 453.5328567124.

The spelling of 93288104 in words is "ninety-three million, two hundred eighty-eight thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 127 182 254 364 508 728 889 1009 1016 1651 1778 2018 3302 3556 4036 6604 7063 7112 8072 11557 13117 13208 14126 23114 26234 28252 46228 52468 56504 91819 92456 104936 128143 183638 256286 367276 512572 734552 897001 1025144 1665859 1794002 3331718 3588004 6663436 7176008 11661013 13326872 23322026 46644052 93288104