Search a number
-
+
3990920904 = 2332314394073
BaseRepresentation
bin1110110111100000…
…1001111011001000
3101022010121210021100
43231320021323020
531133133432104
61500003141400
7200620160625
oct35570117310
911263553240
103990920904
111768852a43
12934674860
134b7a93079
1429c06d34c
15185580139
hexede09ec8

3990920904 has 96 divisors (see below), whose sum is σ = 11185574400. Its totient is φ = 1284145920.

The previous prime is 3990920903. The next prime is 3990920909. The reversal of 3990920904 is 4090290993.

It is a self number, because there is not a number n which added to its sum of digits gives 3990920904.

It is not an unprimeable number, because it can be changed into a prime (3990920903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977812 + ... + 981884.

It is an arithmetic number, because the mean of its divisors is an integer number (116516400).

Almost surely, 23990920904 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 3990920904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592787200).

3990920904 is an abundant number, since it is smaller than the sum of its proper divisors (7194653496).

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

3990920904 is a wasteful number, since it uses less digits than its factorization.

3990920904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 3990920904 is about 63173.7358718004. The cubic root of 3990920904 is about 1586.1991282655.

The spelling of 3990920904 in words is "three billion, nine hundred ninety million, nine hundred twenty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 439 558 744 878 1116 1317 1756 2232 2634 3512 3951 4073 5268 7902 8146 10536 12219 13609 15804 16292 24438 27218 31608 32584 36657 40827 48876 54436 73314 81654 97752 108872 122481 126263 146628 163308 244962 252526 293256 326616 378789 489924 505052 757578 979848 1010104 1136367 1515156 1788047 2272734 3030312 3576094 4545468 5364141 7152188 9090936 10728282 14304376 16092423 21456564 32184846 42913128 55429457 64369692 110858914 128739384 166288371 221717828 332576742 443435656 498865113 665153484 997730226 1330306968 1995460452 3990920904