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372042 = 232111879
BaseRepresentation
bin1011010110101001010
3200220100100
41122311022
543401132
611550230
73106446
oct1326512
9626310
10372042
11234580
1215b376
13100458
1499826
157537c
hex5ad4a

372042 has 24 divisors (see below), whose sum is σ = 879840. Its totient is φ = 112680.

The previous prime is 372037. The next prime is 372049. The reversal of 372042 is 240273.

It is a happy number.

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 372042.

It is not an unprimeable number, because it can be changed into a prime (372049) by changing a digit.

372042 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 11 ways as a sum of consecutive naturals, for example, 742 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (36660).

2372042 is an apocalyptic number.

372042 is an abundant number, since it is smaller than the sum of its proper divisors (507798).

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

372042 is a wasteful number, since it uses less digits than its factorization.

372042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 372042 is about 609.9524571637. The cubic root of 372042 is about 71.9223700336.

Subtracting from 372042 its reverse (240273), we obtain a square (131769 = 3632).

The spelling of 372042 in words is "three hundred seventy-two thousand, forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1879 3758 5637 11274 16911 20669 33822 41338 62007 124014 186021 372042