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672424992 = 25325344053
BaseRepresentation
bin101000000101000…
…110010000100000
31201212021201200100
4220011012100200
52334120044432
6150420222400
722443342501
oct5005062040
91655251610
10672424992
11315625938
1216923aa00
13a9406115
146543aba8
153e07707c
hex28146420

672424992 has 72 divisors (see below), whose sum is σ = 1948332204. Its totient is φ = 219907584.

The previous prime is 672424967. The next prime is 672425023. The reversal of 672424992 is 299424276.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 636855696 + 35569296 = 25236^2 + 5964^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 6763 + ... + 37290.

Almost surely, 2672424992 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 672424992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974166102).

672424992 is an abundant number, since it is smaller than the sum of its proper divisors (1275907212).

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

672424992 is a wasteful number, since it uses less digits than its factorization.

672424992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44122 (or 44111 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 672424992 is about 25931.1587091669. The cubic root of 672424992 is about 876.0884379344.

The spelling of 672424992 in words is "six hundred seventy-two million, four hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 44053 88106 132159 176212 264318 352424 396477 528636 704848 792954 1057272 1409696 1585908 2114544 2334809 3171816 4229088 4669618 6343632 7004427 9339236 12687264 14008854 18678472 21013281 28017708 37356944 42026562 56035416 74713888 84053124 112070832 168106248 224141664 336212496 672424992