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42536080 = 245531701
BaseRepresentation
bin1010001001000…
…0110010010000
32222001001112101
42202100302100
541342123310
64115410144
71024356616
oct242206220
988031471
1042536080
1122012a94
12122b3954
138a73ca2
1459136b6
153b0343a
hex2890c90

42536080 has 20 divisors (see below), whose sum is σ = 98896572. Its totient is φ = 17014400.

The previous prime is 42536071. The next prime is 42536083. The reversal of 42536080 is 8063524.

It can be written as a sum of positive squares in 2 ways, for example, as 4787344 + 37748736 = 2188^2 + 6144^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (42536083) 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, 265771 + ... + 265930.

Almost surely, 242536080 is an apocalyptic number.

42536080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42536080 is an abundant number, since it is smaller than the sum of its proper divisors (56360492).

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

42536080 is a wasteful number, since it uses less digits than its factorization.

42536080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531714 (or 531708 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 42536080 is about 6521.9690278320. The cubic root of 42536080 is about 349.0753279491.

The spelling of 42536080 in words is "forty-two million, five hundred thirty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 531701 1063402 2126804 2658505 4253608 5317010 8507216 10634020 21268040 42536080