Search a number
-
+
3800631696 = 243532416199
BaseRepresentation
bin1110001010001001…
…0000100110010000
3100210212120002112220
43202202100212100
530240430203241
61425044421040
7163116556611
oct34242204620
910725502486
103800631696
1116803a2934
128a09a7780
13487528ac4
14280a97c08
151739e3166
hexe2890990

3800631696 has 80 divisors (see below), whose sum is σ = 10046678400. Its totient is φ = 1237616640.

The previous prime is 3800631691. The next prime is 3800631719. The reversal of 3800631696 is 6961360083.

It is not an unprimeable number, because it can be changed into a prime (3800631691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610005 + ... + 616203.

It is an arithmetic number, because the mean of its divisors is an integer number (125583480).

Almost surely, 23800631696 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 3800631696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023339200).

3800631696 is an abundant number, since it is smaller than the sum of its proper divisors (6246046704).

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

3800631696 is a wasteful number, since it uses less digits than its factorization.

3800631696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6504 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3800631696 is about 61649.2635479127. The cubic root of 3800631696 is about 1560.5772157208.

The spelling of 3800631696 in words is "three billion, eight hundred million, six hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 241 318 424 482 636 723 848 964 1272 1446 1928 2544 2892 3856 5784 6199 11568 12398 12773 18597 24796 25546 37194 38319 49592 51092 74388 76638 99184 102184 148776 153276 204368 297552 306552 328547 613104 657094 985641 1314188 1493959 1971282 2628376 2987918 3942564 4481877 5256752 5975836 7885128 8963754 11951672 15770256 17927508 23903344 35855016 71710032 79179827 158359654 237539481 316719308 475078962 633438616 950157924 1266877232 1900315848 3800631696