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642483776 = 26114122259
BaseRepresentation
bin100110010010111…
…000011001000000
31122202221120001102
4212102320121000
52303433440101
6143430353532
721631010354
oct4622703100
91582846042
10642483776
112aa735630
1215b1bb8a8
13a3151b1c
1461485464
153b61086b
hex264b8640

642483776 has 56 divisors (see below), whose sum is σ = 1424818080. Its totient is φ = 284902400.

The previous prime is 642483763. The next prime is 642483797. The reversal of 642483776 is 677384246.

It is a self number, because there is not a number n which added to its sum of digits gives 642483776.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17735 + ... + 39993.

It is an arithmetic number, because the mean of its divisors is an integer number (25443180).

Almost surely, 2642483776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642483776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712409040).

642483776 is an abundant number, since it is smaller than the sum of its proper divisors (782334304).

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

642483776 is a wasteful number, since it uses less digits than its factorization.

642483776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22323 (or 22313 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 47.

The square root of 642483776 is about 25347.2636787484. The cubic root of 642483776 is about 862.8872563584.

It can be divided in two parts, 64 and 2483776, that multiplied together give a square (158961664 = 126082).

The spelling of 642483776 in words is "six hundred forty-two million, four hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 656 704 902 1312 1804 2624 3608 7216 14432 22259 28864 44518 89036 178072 244849 356144 489698 712288 912619 979396 1424576 1825238 1958792 3650476 3917584 7300952 7835168 10038809 14601904 15670336 20077618 29203808 40155236 58407616 80310472 160620944 321241888 642483776