Search a number
-
+
3998505504 = 25377381509
BaseRepresentation
bin1110111001010100…
…0101101000100000
3101022122220010101110
43232111011220200
531142104134004
61500433503320
7201041510310
oct35625055040
911278803343
103998505504
111772063404
12937111b40
134b951a3b6
1429d085440
1518607c589
hexee545a20

3998505504 has 96 divisors (see below), whose sum is σ = 12159987840. Its totient is φ = 1126766592.

The previous prime is 3998505499. The next prime is 3998505523. The reversal of 3998505504 is 4055058993.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8302 + ... + 89810.

It is an arithmetic number, because the mean of its divisors is an integer number (126666540).

Almost surely, 23998505504 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 3998505504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079993920).

3998505504 is an abundant number, since it is smaller than the sum of its proper divisors (8161482336).

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

3998505504 is a wasteful number, since it uses less digits than its factorization.

3998505504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81602 (or 81594 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 3998505504 is about 63233.7370712818. The cubic root of 3998505504 is about 1587.2033302981.

The spelling of 3998505504 in words is "three billion, nine hundred ninety-eight million, five hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 3066 3504 4088 6132 7008 8176 12264 16352 24528 49056 81509 163018 244527 326036 489054 570563 652072 978108 1141126 1304144 1711689 1956216 2282252 2608288 3423378 3912432 4564504 5950157 6846756 7824864 9129008 11900314 13693512 17850471 18258016 23800628 27387024 35700942 41651099 47601256 54774048 71401884 83302198 95202512 124953297 142803768 166604396 190405024 249906594 285607536 333208792 499813188 571215072 666417584 999626376 1332835168 1999252752 3998505504