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642525246 = 232112295007
BaseRepresentation
bin100110010011000…
…010100000111110
31122210000122221100
4212103002200332
52303441301441
6143431313530
721631242306
oct4623024076
91583018840
10642525246
112aa763800
1215b21b8a6
13a316796c
1461496606
153b61ccb6
hex264c283e

642525246 has 36 divisors (see below), whose sum is σ = 1530206496. Its totient is φ = 194703960.

The previous prime is 642525241. The next prime is 642525253.

642525246 is a `hidden beast` number, since 642 + 5 + 2 + 5 + 2 + 4 + 6 = 666.

642525246 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 642525246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642525241) 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 17 ways as a sum of consecutive naturals, for example, 145326 + ... + 149681.

It is an arithmetic number, because the mean of its divisors is an integer number (42505736).

Almost surely, 2642525246 is an apocalyptic number.

642525246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

642525246 is an abundant number, since it is smaller than the sum of its proper divisors (887681250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642525246 is a wasteful number, since it uses less digits than its factorization.

642525246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295037 (or 295023 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 642525246 is about 25348.0817025668. The cubic root of 642525246 is about 862.9058213743.

The spelling of 642525246 in words is "six hundred forty-two million, five hundred twenty-five thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 295007 590014 885021 1770042 2655063 3245077 5310126 6490154 9735231 19470462 29205693 35695847 58411386 71391694 107087541 214175082 321262623 642525246