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93679168 = 2611212097
BaseRepresentation
bin1011001010101…
…10111001000000
320112021101122211
411211112321000
5142440213133
613143511504
72215155052
oct545267100
9215241584
1093679168
1148974600
1227458594
131653c77b
14c6278d2
158356bcd
hex5956e40

93679168 has 42 divisors (see below), whose sum is σ = 204347318. Its totient is φ = 42577920.

The previous prime is 93679141. The next prime is 93679171. The reversal of 93679168 is 86197639.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 39037504 = 7392^2 + 6248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1696 + ... + 13792.

Almost surely, 293679168 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 93679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102173659).

93679168 is an abundant number, since it is smaller than the sum of its proper divisors (110668150).

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

93679168 is a wasteful number, since it uses less digits than its factorization.

93679168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12131 (or 12110 counting only the distinct ones).

The product of its digits is 489888, while the sum is 49.

The square root of 93679168 is about 9678.7999256106. The cubic root of 93679168 is about 454.1657102394.

The spelling of 93679168 in words is "ninety-three million, six hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 12097 24194 48388 96776 133067 193552 266134 387104 532268 774208 1064536 1463737 2129072 2927474 4258144 5854948 8516288 11709896 23419792 46839584 93679168