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42142368 = 253438983
BaseRepresentation
bin1010000011000…
…0101010100000
32221022001110110
42200300222200
541242023433
64103131320
71021130022
oct240605240
987261413
1042142368
1121874204
1212143b40
138966a18
145850012
153a76963
hex2830aa0

42142368 has 24 divisors (see below), whose sum is σ = 110623968. Its totient is φ = 14047424.

The previous prime is 42142363. The next prime is 42142381. The reversal of 42142368 is 86324124.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42142363) 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, 219396 + ... + 219587.

It is an arithmetic number, because the mean of its divisors is an integer number (4609332).

Almost surely, 242142368 is an apocalyptic number.

42142368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42142368 is an abundant number, since it is smaller than the sum of its proper divisors (68481600).

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

42142368 is a wasteful number, since it uses less digits than its factorization.

42142368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438996 (or 438988 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42142368 is about 6491.7153357183. The cubic root of 42142368 is about 347.9949794493.

The spelling of 42142368 in words is "forty-two million, one hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 438983 877966 1316949 1755932 2633898 3511864 5267796 7023728 10535592 14047456 21071184 42142368