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394927008 = 25371930931
BaseRepresentation
bin10111100010100…
…001101110100000
31000112010101000020
4113202201232200
51302100131013
6103104353440
712533552460
oct2742415640
91015111006
10394927008
11192a20563
12b0315880
1363a86528
143a643ba0
1524a10623
hex178a1ba0

394927008 has 96 divisors (see below), whose sum is σ = 1247178240. Its totient is φ = 106894080.

The previous prime is 394926991. The next prime is 394927019. The reversal of 394927008 is 800729493.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2698 + ... + 28233.

It is an arithmetic number, because the mean of its divisors is an integer number (12991440).

Almost surely, 2394927008 is an apocalyptic number.

394927008 is a gapful number since it is divisible by the number (38) 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 394927008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623589120).

394927008 is an abundant number, since it is smaller than the sum of its proper divisors (852251232).

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

394927008 is a wasteful number, since it uses less digits than its factorization.

394927008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30970 (or 30962 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 394927008 is about 19872.7705164630. The cubic root of 394927008 is about 733.6781944559.

The spelling of 394927008 in words is "three hundred ninety-four million, nine hundred twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 30931 61862 92793 123724 185586 216517 247448 371172 433034 494896 587689 649551 742344 866068 989792 1175378 1299102 1484688 1732136 1763067 2350756 2598204 2969376 3464272 3526134 4113823 4701512 5196408 6928544 7052268 8227646 9403024 10392816 12341469 14104536 16455292 18806048 20785632 24682938 28209072 32910584 49365876 56418144 65821168 98731752 131642336 197463504 394927008