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93808 = 24111341
BaseRepresentation
bin10110111001110000
311202200101
4112321300
511000213
62002144
7540331
oct267160
9152611
1093808
1164530
1246354
1333910
1426288
151cbdd
hex16e70

93808 has 40 divisors (see below), whose sum is σ = 218736. Its totient is φ = 38400.

The previous prime is 93787. The next prime is 93809. The reversal of 93808 is 80839.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2268 + ... + 2308.

293808 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 93808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368).

93808 is an abundant number, since it is smaller than the sum of its proper divisors (124928).

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

93808 is a wasteful number, since it uses less digits than its factorization.

93808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 93808 is about 306.2809168068. The cubic root of 93808 is about 45.4373811557.

The spelling of 93808 in words is "ninety-three thousand, eight hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 82 88 104 143 164 176 208 286 328 451 533 572 656 902 1066 1144 1804 2132 2288 3608 4264 5863 7216 8528 11726 23452 46904 93808