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42632307 = 3243110161
BaseRepresentation
bin1010001010100…
…0010001110011
32222012221112100
42202220101303
541403213212
64121431443
71025240304
oct242502163
988187470
1042632307
1122079313
121233b583
138aa8a23
14593a7ab
153b21bdc
hex28a8473

42632307 has 12 divisors (see below), whose sum is σ = 63012664. Its totient is φ = 27760320.

The previous prime is 42632297. The next prime is 42632309. The reversal of 42632307 is 70323624.

42632307 is a `hidden beast` number, since 426 + 3 + 230 + 7 = 666.

It is not a de Polignac number, because 42632307 - 210 = 42631283 is a prime.

It is a super-3 number, since 3×426323073 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42632309) 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 11 ways as a sum of consecutive naturals, for example, 54694 + ... + 55467.

Almost surely, 242632307 is an apocalyptic number.

42632307 is a deficient number, since it is larger than the sum of its proper divisors (20380357).

42632307 is a wasteful number, since it uses less digits than its factorization.

42632307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110210 (or 110207 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 42632307 is about 6529.3420036019. The cubic root of 42632307 is about 349.3383609117.

The spelling of 42632307 in words is "forty-two million, six hundred thirty-two thousand, three hundred seven".

Divisors: 1 3 9 43 129 387 110161 330483 991449 4736923 14210769 42632307