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642623490 = 23353176777
BaseRepresentation
bin100110010011011…
…010100000000010
31122210012122201000
4212103122200002
52304002422430
6143433352430
721632131605
oct4623324002
91583178630
10642623490
112aa8205a3
1215b268716
13a31a05b2
14614c033c
153b63be60
hex264da802

642623490 has 64 divisors (see below), whose sum is σ = 1768965120. Its totient is φ = 165836160.

The previous prime is 642623483. The next prime is 642623497. The reversal of 642623490 is 94326246.

642623490 is a `hidden beast` number, since 642 + 6 + 2 + 3 + 4 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (642623483) and next prime (642623497).

It is not an unprimeable number, because it can be changed into a prime (642623497) 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 31 ways as a sum of consecutive naturals, for example, 30019 + ... + 46758.

It is an arithmetic number, because the mean of its divisors is an integer number (27640080).

Almost surely, 2642623490 is an apocalyptic number.

642623490 is an abundant number, since it is smaller than the sum of its proper divisors (1126341630).

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

642623490 is a wasteful number, since it uses less digits than its factorization.

642623490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76824 (or 76818 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 642623490 is about 25350.0195266197. The cubic root of 642623490 is about 862.9497994123.

The spelling of 642623490 in words is "six hundred forty-two million, six hundred twenty-three thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 76777 153554 230331 383885 460662 690993 767770 1151655 1381986 2072979 2303310 2380087 3454965 4145958 4760174 6909930 7140261 10364895 11900435 14280522 20729790 21420783 23800870 35701305 42841566 64262349 71402610 107103915 128524698 214207830 321311745 642623490