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93942 = 23217307
BaseRepresentation
bin10110111011110110
311202212100
4112323312
511001232
62002530
7540612
oct267366
9152770
1093942
1164642
1246446
13339b4
1426342
151cc7c
hex16ef6

93942 has 24 divisors (see below), whose sum is σ = 216216. Its totient is φ = 29376.

The previous prime is 93941. The next prime is 93949. The reversal of 93942 is 24939.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (9009).

293942 is an apocalyptic number.

It is a pronic number, being equal to 306×307.

It is a practical number, because each smaller number is the sum of distinct divisors of 93942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108).

93942 is an abundant number, since it is smaller than the sum of its proper divisors (122274).

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

93942 is a wasteful number, since it uses less digits than its factorization.

93942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 329 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 93942 is about 306.4995921694. The cubic root of 93942 is about 45.4590058653.

It can be divided in two parts, 93 and 942, that added together give a triangular number (1035 = T45).

The spelling of 93942 in words is "ninety-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 307 614 921 1842 2763 5219 5526 10438 15657 31314 46971 93942