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642782007 = 3373400963
BaseRepresentation
bin100110010100000…
…001001100110111
31122210111201011000
4212110001030313
52304023011012
6143441014343
721633362010
oct4624011467
91583451130
10642782007
112aa9196aa
1215b3243b3
13a32277aa
1461522007
153b66dddc
hex26501337

642782007 has 16 divisors (see below), whose sum is σ = 1088308480. Its totient is φ = 367303896.

The previous prime is 642781991. The next prime is 642782029. The reversal of 642782007 is 700287246.

642782007 is a `hidden beast` number, since 642 + 7 + 8 + 2 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 642782007 - 24 = 642781991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642782057) 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, 1700293 + ... + 1700670.

It is an arithmetic number, because the mean of its divisors is an integer number (68019280).

Almost surely, 2642782007 is an apocalyptic number.

642782007 is a deficient number, since it is larger than the sum of its proper divisors (445526473).

642782007 is a wasteful number, since it uses less digits than its factorization.

642782007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400979 (or 3400973 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 642782007 is about 25353.1458994737. The cubic root of 642782007 is about 863.0207486641.

The spelling of 642782007 in words is "six hundred forty-two million, seven hundred eighty-two thousand, seven".

Divisors: 1 3 7 9 21 27 63 189 3400963 10202889 23806741 30608667 71420223 91826001 214260669 642782007