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42252507 = 32112914717
BaseRepresentation
bin1010000100101…
…1100011011011
32221111122112200
42201023203123
541304040012
64105341243
71022066103
oct241134333
987448480
1042252507
1121939a30
1212197823
1389a4bab
14587c203
153a993dc
hex284b8db

42252507 has 24 divisors (see below), whose sum is σ = 68880240. Its totient is φ = 24722880.

The previous prime is 42252499. The next prime is 42252547. The reversal of 42252507 is 70525224.

42252507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42252507 - 23 = 42252499 is a prime.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (42252547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4488 + ... + 10229.

It is an arithmetic number, because the mean of its divisors is an integer number (2870010).

Almost surely, 242252507 is an apocalyptic number.

42252507 is a deficient number, since it is larger than the sum of its proper divisors (26627733).

42252507 is a wasteful number, since it uses less digits than its factorization.

42252507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14763 (or 14760 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 42252507 is about 6500.1928432932. The cubic root of 42252507 is about 348.2978771376.

The spelling of 42252507 in words is "forty-two million, two hundred fifty-two thousand, five hundred seven".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 14717 44151 132453 161887 426793 485661 1280379 1456983 3841137 4694723 14084169 42252507