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395964072 = 23337261881
BaseRepresentation
bin10111100110011…
…110111010101000
31000121002001121000
4113212132322220
51302331322242
6103142515000
712545432130
oct2746367250
91017061530
10395964072
11193569739
12b0735a60
136405a58a
143a833ac0
1524b67a4c
hex1799eea8

395964072 has 64 divisors (see below), whose sum is σ = 1257033600. Its totient is φ = 113132160.

The previous prime is 395964071. The next prime is 395964083. The reversal of 395964072 is 270469593.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (395964071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129429 + ... + 132452.

It is an arithmetic number, because the mean of its divisors is an integer number (19641150).

Almost surely, 2395964072 is an apocalyptic number.

It is an amenable number.

395964072 is an abundant number, since it is smaller than the sum of its proper divisors (861069528).

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

395964072 is a wasteful number, since it uses less digits than its factorization.

395964072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261903 (or 261893 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 395964072 is about 19898.8459966904. The cubic root of 395964072 is about 734.3198372496.

The spelling of 395964072 in words is "three hundred ninety-five million, nine hundred sixty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 261881 523762 785643 1047524 1571286 1833167 2095048 2356929 3142572 3666334 4713858 5499501 6285144 7070787 7332668 9427716 10999002 14141574 14665336 16498503 18855432 21998004 28283148 32997006 43996008 49495509 56566296 65994012 98991018 131988024 197982036 395964072