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42507293 = 1731791021
BaseRepresentation
bin1010001000100…
…1110000011101
32221222121001012
42202021300131
541340213133
64115025005
71024206653
oct242116035
987877035
1042507293
1121aa33a4
121229b165
138a63b5a
145906dd3
153ae9b48
hex2889c1d

42507293 has 16 divisors (see below), whose sum is σ = 47093760. Its totient is φ = 38188800.

The previous prime is 42507277. The next prime is 42507299. The reversal of 42507293 is 39270524.

It is a happy number.

It is not a de Polignac number, because 42507293 - 24 = 42507277 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42507299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41123 + ... + 42143.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 242507293 is an apocalyptic number.

It is an amenable number.

42507293 is a deficient number, since it is larger than the sum of its proper divisors (4586467).

42507293 is a wasteful number, since it uses less digits than its factorization.

42507293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 42507293 is about 6519.7617287751. The cubic root of 42507293 is about 348.9965626654.

The spelling of 42507293 in words is "forty-two million, five hundred seven thousand, two hundred ninety-three".

Divisors: 1 17 31 79 527 1021 1343 2449 17357 31651 41633 80659 538067 1371203 2500429 42507293