Search a number
-
+
390295808 = 287433503
BaseRepresentation
bin10111010000110…
…111000100000000
31000012102002012022
4113100313010000
51244403431213
6102421221012
712446313440
oct2720670400
91005362168
10390295808
11190348021
12aa861768
1362b24586
1439b9a120
15243e8308
hex17437100

390295808 has 72 divisors (see below), whose sum is σ = 894192768. Its totient is φ = 166551552.

The previous prime is 390295783. The next prime is 390295811. The reversal of 390295808 is 808592093.

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, 775685 + ... + 776187.

It is an arithmetic number, because the mean of its divisors is an integer number (12419344).

Almost surely, 2390295808 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 390295808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447096384).

390295808 is an abundant number, since it is smaller than the sum of its proper divisors (503896960).

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

390295808 is an equidigital number, since it uses as much as digits as its factorization.

390295808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 390295808 is about 19755.9056486915. The cubic root of 390295808 is about 730.7990300160.

The spelling of 390295808 in words is "three hundred ninety million, two hundred ninety-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 433 448 503 866 896 1006 1732 1792 2012 3031 3464 3521 4024 6062 6928 7042 8048 12124 13856 14084 16096 24248 27712 28168 32192 48496 55424 56336 64384 96992 110848 112672 128768 193984 217799 225344 387968 435598 450688 775936 871196 901376 1524593 1742392 3049186 3484784 6098372 6969568 12196744 13939136 24393488 27878272 48786976 55756544 97573952 195147904 390295808