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649291968 = 26321386711
BaseRepresentation
bin100110101100110…
…110100011000000
31200020202110010200
4212230312203000
52312204320333
6144232325200
722042614333
oct4654664300
91606673120
10649291968
11303565736
12161543800
13a4696940
146233861a
153c007c13
hex26b368c0

649291968 has 84 divisors (see below), whose sum is σ = 2004261168. Its totient is φ = 199779840.

The previous prime is 649291967. The next prime is 649291969. The reversal of 649291968 is 869192946.

649291968 is a `hidden beast` number, since 6 + 492 + 91 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (649291967) and next prime (649291969).

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 (649291961) 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 11 ways as a sum of consecutive naturals, for example, 35868 + ... + 50843.

It is an arithmetic number, because the mean of its divisors is an integer number (23860252).

Almost surely, 2649291968 is an apocalyptic number.

It is an amenable number.

649291968 is an abundant number, since it is smaller than the sum of its proper divisors (1354969200).

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

649291968 is a wasteful number, since it uses less digits than its factorization.

649291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86742 (or 86729 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 649291968 is about 25481.2081346234. The cubic root of 649291968 is about 865.9244654254.

The spelling of 649291968 in words is "six hundred forty-nine million, two hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 86711 173422 260133 346844 520266 693688 780399 1040532 1127243 1387376 1560798 2081064 2254486 2774752 3121596 3381729 4162128 4508972 5549504 6243192 6763458 8324256 9017944 10145187 12486384 13526916 16648512 18035888 20290374 24972768 27053832 36071776 40580748 49945536 54107664 72143552 81161496 108215328 162322992 216430656 324645984 649291968