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93042 = 2331723
BaseRepresentation
bin10110101101110010
311201122000
4112231302
510434132
61554430
7535155
oct265562
9151560
1093042
11639a4
1245a16
1333471
1425c9c
151c87c
hex16b72

93042 has 16 divisors (see below), whose sum is σ = 206880. Its totient is φ = 30996.

The previous prime is 93001. The next prime is 93047. The reversal of 93042 is 24039.

It can be divided in two parts, 930 and 42, that multiplied together give a triangular number (39060 = T279).

93042 is nontrivially palindromic in base 8.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93042.

It is not an unprimeable number, because it can be changed into a prime (93047) by changing a digit.

93042 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (12930).

293042 is an apocalyptic number.

93042 is an abundant number, since it is smaller than the sum of its proper divisors (113838).

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 (103440).

93042 is a wasteful number, since it uses less digits than its factorization.

93042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 93042 is about 305.0278675793. The cubic root of 93042 is about 45.3133682751.

The spelling of 93042 in words is "ninety-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 1723 3446 5169 10338 15507 31014 46521 93042