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394993056 = 25337611823
BaseRepresentation
bin10111100010110…
…001110110100000
31000112020201121110
4113202301312200
51302104234211
6103110023320
712534246153
oct2742616640
91015221543
10394993056
11192a66147
12b0347b40
1363aaa603
143a65dc9a
1524a24ea6
hex178b1da0

394993056 has 96 divisors (see below), whose sum is σ = 1082930688. Its totient is φ = 125936640.

The previous prime is 394993051. The next prime is 394993063. The reversal of 394993056 is 650399493.

It is a happy number.

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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 394992996 and 394993014.

It is not an unprimeable number, because it can be changed into a prime (394993051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215761 + ... + 217583.

It is an arithmetic number, because the mean of its divisors is an integer number (11280528).

Almost surely, 2394993056 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 394993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541465344).

394993056 is an abundant number, since it is smaller than the sum of its proper divisors (687937632).

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

394993056 is a wasteful number, since it uses less digits than its factorization.

394993056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 48.

The square root of 394993056 is about 19874.4322183050. The cubic root of 394993056 is about 733.7190925419.

The spelling of 394993056 in words is "three hundred ninety-four million, nine hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 61 74 96 111 122 148 183 222 244 296 366 444 488 592 732 888 976 1184 1464 1776 1823 1952 2257 2928 3552 3646 4514 5469 5856 6771 7292 9028 10938 13542 14584 18056 21876 27084 29168 36112 43752 54168 58336 67451 72224 87504 108336 111203 134902 175008 202353 216672 222406 269804 333609 404706 444812 539608 667218 809412 889624 1079216 1334436 1618824 1779248 2158432 2668872 3237648 3558496 4114511 5337744 6475296 8229022 10675488 12343533 16458044 24687066 32916088 49374132 65832176 98748264 131664352 197496528 394993056