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93496 = 23132931
BaseRepresentation
bin10110110100111000
311202020211
4112310320
510442441
62000504
7536404
oct266470
9152224
1093496
1164277
1246134
1333730
1426104
151ca81
hex16d38

93496 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 40320.

The previous prime is 93493. The next prime is 93497. The reversal of 93496 is 69439.

93496 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93491) 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, 3001 + ... + 3031.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

293496 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 93496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

93496 is an abundant number, since it is smaller than the sum of its proper divisors (108104).

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

93496 is a wasteful number, since it uses less digits than its factorization.

93496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 93496 is about 305.7711562591. The cubic root of 93496 is about 45.3869511685.

The spelling of 93496 in words is "ninety-three thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 232 248 377 403 754 806 899 1508 1612 1798 3016 3224 3596 7192 11687 23374 46748 93496