Search a number
-
+
93372 = 22331251
BaseRepresentation
bin10110110010111100
311202002020
4112302330
510441442
62000140
7536136
oct266274
9152066
1093372
1164174
1246050
1333666
1426056
151c9ec
hex16cbc

93372 has 24 divisors (see below), whose sum is σ = 225792. Its totient is φ = 30000.

The previous prime is 93371. The next prime is 93377. The reversal of 93372 is 27339.

It can be divided in two parts, 9337 and 2, that added together give a palindrome (9339).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93372.

It is not an unprimeable number, because it can be changed into a prime (93371) 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, 247 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

293372 is an apocalyptic number.

It is an amenable number.

93372 is an abundant number, since it is smaller than the sum of its proper divisors (132420).

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 (112896).

93372 is a wasteful number, since it uses less digits than its factorization.

93372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its digits is 1134, while the sum is 24.

The square root of 93372 is about 305.5683229656. The cubic root of 93372 is about 45.3668773263.

The spelling of 93372 in words is "ninety-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 251 372 502 753 1004 1506 3012 7781 15562 23343 31124 46686 93372