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642447792 = 24327637349
BaseRepresentation
bin100110010010101…
…111100110110000
31122202212201200200
4212102233212300
52303431312132
6143425515200
721630500430
oct4622574660
91582781620
10642447792
112aa710598
1215b1a2b00
13a313b62c
14614762c0
153b604d7c
hex264af9b0

642447792 has 60 divisors (see below), whose sum is σ = 2054816400. Its totient is φ = 183556224.

The previous prime is 642447763. The next prime is 642447797. The reversal of 642447792 is 297744246.

642447792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (642447797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317667 + ... + 319682.

It is an arithmetic number, because the mean of its divisors is an integer number (34246940).

Almost surely, 2642447792 is an apocalyptic number.

It is an amenable number.

642447792 is an abundant number, since it is smaller than the sum of its proper divisors (1412368608).

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

642447792 is a wasteful number, since it uses less digits than its factorization.

642447792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637370 (or 637361 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 642447792 is about 25346.5538486004. The cubic root of 642447792 is about 862.8711466314.

The spelling of 642447792 in words is "six hundred forty-two million, four hundred forty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 637349 1274698 1912047 2549396 3824094 4461443 5098792 5736141 7648188 8922886 10197584 11472282 13384329 15296376 17845772 22944564 26768658 30592752 35691544 40152987 45889128 53537316 71383088 80305974 91778256 107074632 160611948 214149264 321223896 642447792