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3944844864 = 263226172
BaseRepresentation
bin1110101100100001…
…1000111001000000
3101011220220212211100
43223020120321000
531034340013424
61451235414400
7166520425302
oct35310307100
911156825740
103944844864
111744842374
12921154400
134ab37ca3c
14295cb7972
151814ccdc9
hexeb218e40

3944844864 has 63 divisors (see below), whose sum is σ = 11311507857. Its totient is φ = 1314445824.

The previous prime is 3944844779. The next prime is 3944844877. The reversal of 3944844864 is 4684484493.

The square root of 3944844864 is 62808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3848961600 + 95883264 = 62040^2 + 9792^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3944844864.

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 8 ways as a sum of consecutive naturals, for example, 1506084 + ... + 1508700.

Almost surely, 23944844864 is an apocalyptic number.

3944844864 is the 62808-th square number.

It is an amenable number.

3944844864 is an abundant number, since it is smaller than the sum of its proper divisors (7366662993).

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

3944844864 is an frugal number, since it uses more digits than its factorization.

3944844864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 2622 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The cubic root of 3944844864 is about 1580.0711477869.

The spelling of 3944844864 in words is "three billion, nine hundred forty-four million, eight hundred forty-four thousand, eight 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 2617 5234 7851 10468 15702 20936 23553 31404 41872 47106 62808 83744 94212 125616 167488 188424 251232 376848 502464 753696 1507392 6848689 13697378 20546067 27394756 41092134 54789512 61638201 82184268 109579024 123276402 164368536 219158048 246552804 328737072 438316096 493105608 657474144 986211216 1314948288 1972422432 3944844864