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93804 = 2237817
BaseRepresentation
bin10110111001101100
311202200020
4112321230
511000204
62002140
7540324
oct267154
9152606
1093804
1164527
1246350
1333909
1426284
151cbd9
hex16e6c

93804 has 12 divisors (see below), whose sum is σ = 218904. Its totient is φ = 31264.

The previous prime is 93787. The next prime is 93809. The reversal of 93804 is 40839.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (93809) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3897 + ... + 3920.

It is an arithmetic number, because the mean of its divisors is an integer number (18242).

293804 is an apocalyptic number.

It is an amenable number.

93804 is an abundant number, since it is smaller than the sum of its proper divisors (125100).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109452).

93804 is a wasteful number, since it uses less digits than its factorization.

93804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7824 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 93804 is about 306.2743867841. The cubic root of 93804 is about 45.4367353255.

The spelling of 93804 in words is "ninety-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 7817 15634 23451 31268 46902 93804