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93415056 = 2437416781
BaseRepresentation
bin1011001000101…
…10011010010000
320111202222100220
411210112122100
5142403240211
613134113040
72213005050
oct544263220
9214688326
1093415056
1148804129
122734b780
13164794a7
14c599560
158303806
hex5916690

93415056 has 80 divisors (see below), whose sum is σ = 282565248. Its totient is φ = 26035200.

The previous prime is 93415013. The next prime is 93415057. The reversal of 93415056 is 65051439.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93415057) 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 15 ways as a sum of consecutive naturals, for example, 10386 + ... + 17166.

Almost surely, 293415056 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 93415056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141282624).

93415056 is an abundant number, since it is smaller than the sum of its proper divisors (189150192).

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

93415056 is a wasteful number, since it uses less digits than its factorization.

93415056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 93415056 is about 9665.1464551759. The cubic root of 93415056 is about 453.7384949538.

The spelling of 93415056 in words is "ninety-three million, four hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6781 6888 13562 13776 20343 27124 40686 47467 54248 81372 94934 108496 142401 162744 189868 278021 284802 325488 379736 556042 569604 759472 834063 1112084 1139208 1668126 1946147 2224168 2278416 3336252 3892294 4448336 5838441 6672504 7784588 11676882 13345008 15569176 23353764 31138352 46707528 93415056