Search a number
-
+
3625433984 = 27613111493
BaseRepresentation
bin1101100000010111…
…1011101110000000
3100100122220010110202
43120011323232000
524411102341414
61355425344332
7155561452244
oct33005735600
910318803422
103625433984
1115a0510237
128521980a8
1345a146a13
142656d0424
151634379de
hexd817bb80

3625433984 has 64 divisors (see below), whose sum is σ = 7369483680. Its totient is φ = 1776076800.

The previous prime is 3625433983. The next prime is 3625434013. The reversal of 3625433984 is 4893345263.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×36254339842 = 26287543144684224512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625433983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2427542 + ... + 2429034.

Almost surely, 23625433984 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 3625433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684741840).

3625433984 is an abundant number, since it is smaller than the sum of its proper divisors (3744049696).

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

3625433984 is a wasteful number, since it uses less digits than its factorization.

3625433984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1867 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 47.

The square root of 3625433984 is about 60211.5768270521. The cubic root of 3625433984 is about 1536.2197132172.

The spelling of 3625433984 in words is "three billion, six hundred twenty-five million, four hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 311 488 622 976 1244 1493 1952 2488 2986 3904 4976 5972 7808 9952 11944 18971 19904 23888 37942 39808 47776 75884 91073 95552 151768 182146 191104 303536 364292 464323 607072 728584 928646 1214144 1457168 1857292 2428288 2914336 3714584 5828672 7429168 11657344 14858336 28323703 29716672 56647406 59433344 113294812 226589624 453179248 906358496 1812716992 3625433984