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42045792 = 253437977
BaseRepresentation
bin1010000001100…
…1000101100000
32221010010222120
42200121011200
541230431132
64101104240
71020245325
oct240310540
987103876
1042045792
1121808698
12120b8080
138931a89
145826b4c
153a5802c
hex2819160

42045792 has 24 divisors (see below), whose sum is σ = 110370456. Its totient is φ = 14015232.

The previous prime is 42045791. The next prime is 42045797. The reversal of 42045792 is 29754024.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42045791) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218893 + ... + 219084.

It is an arithmetic number, because the mean of its divisors is an integer number (4598769).

Almost surely, 242045792 is an apocalyptic number.

It is an amenable number.

42045792 is an abundant number, since it is smaller than the sum of its proper divisors (68324664).

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

42045792 is a wasteful number, since it uses less digits than its factorization.

42045792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437990 (or 437982 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 42045792 is about 6484.2726654576. The cubic root of 42045792 is about 347.7289473447.

The spelling of 42045792 in words is "forty-two million, forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 437977 875954 1313931 1751908 2627862 3503816 5255724 7007632 10511448 14015264 21022896 42045792