Search a number
-
+
3995383296 = 29310632447
BaseRepresentation
bin1110111000100100…
…1011011000000000
3101022110000111112010
43232021023120000
531140304231141
61500242532520
7201003124542
oct35611133000
911273014463
103995383296
111770320673
12936067140
134b8996238
1429c8b1692
15185b62416
hexee24b600

3995383296 has 80 divisors (see below), whose sum is σ = 10658317824. Its totient is φ = 1329997824.

The previous prime is 3995383277. The next prime is 3995383303. The reversal of 3995383296 is 6923835993.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1631545 + ... + 1633991.

Almost surely, 23995383296 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 3995383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329158912).

3995383296 is an abundant number, since it is smaller than the sum of its proper divisors (6662934528).

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

3995383296 is a wasteful number, since it uses less digits than its factorization.

3995383296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3515 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 57.

The square root of 3995383296 is about 63209.0444161277. The cubic root of 3995383296 is about 1586.7901034617.

The spelling of 3995383296 in words is "three billion, nine hundred ninety-five million, three hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1063 1536 2126 2447 3189 4252 4894 6378 7341 8504 9788 12756 14682 17008 19576 25512 29364 34016 39152 51024 58728 68032 78304 102048 117456 136064 156608 204096 234912 272128 313216 408192 469824 544256 626432 816384 939648 1252864 1632768 1879296 2601161 3758592 5202322 7803483 10404644 15606966 20809288 31213932 41618576 62427864 83237152 124855728 166474304 249711456 332948608 499422912 665897216 998845824 1331794432 1997691648 3995383296