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42515627 = 7113714923
BaseRepresentation
bin1010001000101…
…1110010101011
32222000000110212
42202023302223
541341000002
64115131335
71024243160
oct242136253
988000425
1042515627
1121aa9690
12122a3b4b
138a6789b
14590a067
153aec352
hex288bcab

42515627 has 16 divisors (see below), whose sum is σ = 54442752. Its totient is φ = 32231520.

The previous prime is 42515609. The next prime is 42515639. The reversal of 42515627 is 72651524.

42515627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42515627 - 26 = 42515563 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42515593 and 42515602.

It is not an unprimeable number, because it can be changed into a prime (42511627) 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 15 ways as a sum of consecutive naturals, for example, 4613 + ... + 10310.

It is an arithmetic number, because the mean of its divisors is an integer number (3402672).

Almost surely, 242515627 is an apocalyptic number.

42515627 is a deficient number, since it is larger than the sum of its proper divisors (11927125).

42515627 is a wasteful number, since it uses less digits than its factorization.

42515627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14978.

The product of its digits is 16800, while the sum is 32.

The square root of 42515627 is about 6520.4008312373. The cubic root of 42515627 is about 349.0193693188.

The spelling of 42515627 in words is "forty-two million, five hundred fifteen thousand, six hundred twenty-seven".

Divisors: 1 7 11 37 77 259 407 2849 14923 104461 164153 552151 1149071 3865057 6073661 42515627