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94016 = 2613113
BaseRepresentation
bin10110111101000000
311202222002
4112331000
511002031
62003132
7541046
oct267500
9152862
1094016
11646aa
12464a8
1333a40
1426396
151cccb
hex16f40

94016 has 28 divisors (see below), whose sum is σ = 202692. Its totient is φ = 43008.

The previous prime is 94009. The next prime is 94033. The reversal of 94016 is 61049.

It can be written as a sum of positive squares in 2 ways, for example, as 6400 + 87616 = 80^2 + 296^2 .

It is a congruent number.

It is an unprimeable number.

94016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 776 + ... + 888.

It is an arithmetic number, because the mean of its divisors is an integer number (7239).

294016 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 94016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101346).

94016 is an abundant number, since it is smaller than the sum of its proper divisors (108676).

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

94016 is a wasteful number, since it uses less digits than its factorization.

94016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 94016 is about 306.6202863478. The cubic root of 94016 is about 45.4709390565.

The spelling of 94016 in words is "ninety-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 208 226 416 452 832 904 1469 1808 2938 3616 5876 7232 11752 23504 47008 94016