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93252 = 22319409
BaseRepresentation
bin10110110001000100
311201220210
4112301010
510441002
61555420
7535605
oct266104
9151823
1093252
1164075
1245b70
13335a3
1425dac
151c96c
hex16c44

93252 has 24 divisors (see below), whose sum is σ = 229600. Its totient is φ = 29376.

The previous prime is 93251. The next prime is 93253. The reversal of 93252 is 25239.

It is an interprime number because it is at equal distance from previous prime (93251) and next prime (93253).

It is not an unprimeable number, because it can be changed into a prime (93251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 432.

293252 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 93252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114800).

93252 is an abundant number, since it is smaller than the sum of its proper divisors (136348).

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

93252 is a wasteful number, since it uses less digits than its factorization.

93252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 93252 is about 305.3719044051. The cubic root of 93252 is about 45.3474340988.

It can be divided in two parts, 93 and 252, that multiplied together give a triangular number (23436 = T216).

The spelling of 93252 in words is "ninety-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 409 818 1227 1636 2454 4908 7771 15542 23313 31084 46626 93252