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3927449664 = 26326818489
BaseRepresentation
bin1110101000011000…
…0010000001000000
3101010201012010002200
43222012002001000
531020411342124
61445414513200
7166216525365
oct35206020100
911121163080
103927449664
111735a41076
12917365800
134a789c118
1429386a46c
1517ebe3bc9
hexea182040

3927449664 has 42 divisors (see below), whose sum is σ = 11257326990. Its totient is φ = 1309149696.

The previous prime is 3927449657. The next prime is 3927449683. The reversal of 3927449664 is 4669447293.

3927449664 is a `hidden beast` number, since 3 + 92 + 7 + 4 + 496 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3086913600 + 840536064 = 55560^2 + 28992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3927449664.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3408669 + ... + 3409820.

It is an arithmetic number, because the mean of its divisors is an integer number (268031595).

Almost surely, 23927449664 is an apocalyptic number.

It is an amenable number.

3927449664 is an abundant number, since it is smaller than the sum of its proper divisors (7329877326).

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

3927449664 is a wasteful number, since it uses less digits than its factorization.

3927449664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818507 (or 6818494 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 3927449664 is about 62669.3678283099. The cubic root of 3927449664 is about 1577.7452301132.

The spelling of 3927449664 in words is "three billion, nine hundred twenty-seven million, four hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 6818489 13636978 20455467 27273956 40910934 54547912 61366401 81821868 109095824 122732802 163643736 218191648 245465604 327287472 436383296 490931208 654574944 981862416 1309149888 1963724832 3927449664