Search a number
-
+
992603664 = 243213530237
BaseRepresentation
bin111011001010011…
…110111000010000
32120011202111020200
4323022132320100
54013101304124
6242254535200
733411664143
oct7312367020
92504674220
10992603664
1146a331908
12238507500
1312a84a760
1495b8405a
155c21ebc9
hex3b29ee10

992603664 has 60 divisors (see below), whose sum is σ = 2991602796. Its totient is φ = 305415936.

The previous prime is 992603641. The next prime is 992603671. The reversal of 992603664 is 466306299.

992603664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 463971600 + 528632064 = 21540^2 + 22992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263247 + ... + 266990.

Almost surely, 2992603664 is an apocalyptic number.

It is an amenable number.

992603664 is an abundant number, since it is smaller than the sum of its proper divisors (1998999132).

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

992603664 is a wasteful number, since it uses less digits than its factorization.

992603664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530264 (or 530255 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 992603664 is about 31505.6132141560. The cubic root of 992603664 is about 997.5284511455.

The spelling of 992603664 in words is "nine hundred ninety-two million, six hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 530237 1060474 1590711 2120948 3181422 4241896 4772133 6362844 6893081 8483792 9544266 12725688 13786162 19088532 20679243 25451376 27572324 38177064 41358486 55144648 62037729 76354128 82716972 110289296 124075458 165433944 248150916 330867888 496301832 992603664