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2640446648 = 237431915741
BaseRepresentation
bin1001110101100010…
…0000010010111000
320211000110120212022
42131120200102320
520401423243043
61114001534012
7122301266120
oct23530402270
96730416768
102640446648
111135510714
12618344308
13331064b88
141b096dc80
15106c1e868
hex9d6204b8

2640446648 has 64 divisors (see below), whose sum is σ = 5821009920. Its totient is φ = 1099324800.

The previous prime is 2640446593. The next prime is 2640446687. The reversal of 2640446648 is 8466440462.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2640446599 and 2640446608.

It is a congruent number.

It is an unprimeable number.

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, 457058 + ... + 462798.

It is an arithmetic number, because the mean of its divisors is an integer number (90953280).

Almost surely, 22640446648 is an apocalyptic number.

2640446648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2640446648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910504960).

2640446648 is an abundant number, since it is smaller than the sum of its proper divisors (3180563272).

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

2640446648 is a wasteful number, since it uses less digits than its factorization.

2640446648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 44.

The square root of 2640446648 is about 51385.2765682934. The cubic root of 2640446648 is about 1382.1625842009.

The spelling of 2640446648 in words is "two billion, six hundred forty million, four hundred forty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 191 301 344 382 602 764 1204 1337 1528 2408 2674 5348 5741 8213 10696 11482 16426 22964 32852 40187 45928 57491 65704 80374 114982 160748 229964 246863 321496 459928 493726 987452 1096531 1728041 1974904 2193062 3456082 4386124 6912164 7675717 8772248 13824328 15351434 30702868 47150833 61405736 94301666 188603332 330055831 377206664 660111662 1320223324 2640446648