Search a number
-
+
395133888 = 2634743787
BaseRepresentation
bin10111100011010…
…100001111000000
31000112111212210110
4113203110033000
51302123241023
6103113031320
712535403562
oct2743241700
91015455713
10395133888
11193051a36
12b03b5540
1363b29746
143a699332
1524a51a93
hex178d43c0

395133888 has 56 divisors (see below), whose sum is σ = 1067726592. Its totient is φ = 128905984.

The previous prime is 395133887. The next prime is 395133901. The reversal of 395133888 is 888331593.

It is a happy number.

It is a super-2 number, since 2×3951338882 = 312261578891993088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395133881) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12870 + ... + 30917.

Almost surely, 2395133888 is an apocalyptic number.

It is an amenable number.

395133888 is an abundant number, since it is smaller than the sum of its proper divisors (672592704).

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

395133888 is a wasteful number, since it uses less digits than its factorization.

395133888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43849 (or 43839 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 395133888 is about 19877.9749471620. The cubic root of 395133888 is about 733.8062829768.

The spelling of 395133888 in words is "three hundred ninety-five million, one hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 43787 87574 131361 175148 262722 350296 525444 700592 1050888 1401184 2057989 2101776 2802368 4115978 4203552 6173967 8231956 8407104 12347934 16463912 24695868 32927824 49391736 65855648 98783472 131711296 197566944 395133888