Search a number
-
+
3990772692 = 2233192102359
BaseRepresentation
bin1110110111011110…
…0101101111010100
3101022010100020222000
43231313211233110
531133114211232
61500000035300
7200616002544
oct35567455724
911263306860
103990772692
111768761655
12934602b30
134b7a4077a
1429c031324
1518555127c
hexedde5bd4

3990772692 has 72 divisors (see below), whose sum is σ = 10919764800. Its totient is φ = 1260231696.

The previous prime is 3990772691. The next prime is 3990772741. The reversal of 3990772692 is 2962770993.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990772691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12192 + ... + 90167.

It is an arithmetic number, because the mean of its divisors is an integer number (151663400).

Almost surely, 23990772692 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 3990772692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459882400).

3990772692 is an abundant number, since it is smaller than the sum of its proper divisors (6928992108).

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

3990772692 is a wasteful number, since it uses less digits than its factorization.

3990772692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102410 (or 102383 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 3990772692 is about 63172.5628101314. The cubic root of 3990772692 is about 1586.1794923084.

The spelling of 3990772692 in words is "three billion, nine hundred ninety million, seven hundred seventy-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 361 513 684 722 1026 1083 1444 2052 2166 3249 4332 6498 9747 12996 19494 38988 102359 204718 307077 409436 614154 921231 1228308 1842462 1944821 2763693 3684924 3889642 5527386 5834463 7779284 11054772 11668926 17503389 23337852 35006778 36951599 52510167 70013556 73903198 105020334 110854797 147806396 210040668 221709594 332564391 443419188 665128782 997693173 1330257564 1995386346 3990772692