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93392 = 2413449
BaseRepresentation
bin10110110011010000
311202002222
4112303100
510442032
62000212
7536165
oct266320
9152088
1093392
1164192
1246068
1333680
142606c
151ca12
hex16cd0

93392 has 20 divisors (see below), whose sum is σ = 195300. Its totient is φ = 43008.

The previous prime is 93383. The next prime is 93407. The reversal of 93392 is 29339.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 59536 = 184^2 + 244^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

293392 is an apocalyptic number.

It is an amenable number.

93392 is an abundant number, since it is smaller than the sum of its proper divisors (101908).

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 (97650).

93392 is a wasteful number, since it uses less digits than its factorization.

93392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its digits is 1458, while the sum is 26.

The square root of 93392 is about 305.6010471186. The cubic root of 93392 is about 45.3701162444.

The spelling of 93392 in words is "ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 449 898 1796 3592 5837 7184 11674 23348 46696 93392