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3992969568 = 25377183689
BaseRepresentation
bin1110110111111111…
…1110000101100000
3101022021110212111210
43231333332011200
531134200011233
61500115110120
7200643452460
oct35577760540
911267425453
103992969568
111769a22155
129352a2340
134b832c6b3
1429c443ba0
15185837163
hexedffe160

3992969568 has 96 divisors (see below), whose sum is σ = 12147770880. Its totient is φ = 1124766720.

The previous prime is 3992969509. The next prime is 3992969621. The reversal of 3992969568 is 8659692993.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3992969499 and 3992969508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5868 + ... + 89556.

It is an arithmetic number, because the mean of its divisors is an integer number (126539280).

Almost surely, 23992969568 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 3992969568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073885440).

3992969568 is an abundant number, since it is smaller than the sum of its proper divisors (8154801312).

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

3992969568 is a wasteful number, since it uses less digits than its factorization.

3992969568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83780 (or 83772 counting only the distinct ones).

The product of its digits is 56687040, while the sum is 66.

The square root of 3992969568 is about 63189.9483145856. The cubic root of 3992969568 is about 1586.4704969754.

The spelling of 3992969568 in words is "three billion, nine hundred ninety-two million, nine hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5964 6816 7952 11928 15904 23856 47712 83689 167378 251067 334756 502134 585823 669512 1004268 1171646 1339024 1757469 2008536 2343292 2678048 3514938 4017072 4686584 5941919 7029876 8034144 9373168 11883838 14059752 17825757 18746336 23767676 28119504 35651514 41593433 47535352 56239008 71303028 83186866 95070704 124780299 142606056 166373732 190141408 249560598 285212112 332747464 499121196 570424224 665494928 998242392 1330989856 1996484784 3992969568