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672364900 = 225225932
BaseRepresentation
bin101000000100110…
…111100101100100
31201212011200020201
4220010313211210
52334111134100
6150415040244
722443002344
oct5004674544
91655150221
10672364900
11315594779
12169210084
13a93b496c
1465422d24
153e06436a
hex28137964

672364900 has 27 divisors (see below), whose sum is σ = 1459594731. Its totient is φ = 268842240.

The previous prime is 672364883. The next prime is 672364907. The reversal of 672364900 is 9463276.

The square root of 672364900 is 25930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 933156 + 671431744 = 966^2 + 25912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 672364900.

It is not an unprimeable number, because it can be changed into a prime (672364907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 258004 + ... + 260596.

Almost surely, 2672364900 is an apocalyptic number.

672364900 is the 25930-th square number.

It is an amenable number.

672364900 is an abundant number, since it is smaller than the sum of its proper divisors (787229831).

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

672364900 is an equidigital number, since it uses as much as digits as its factorization.

672364900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The cubic root of 672364900 is about 876.0623396209.

The spelling of 672364900 in words is "six hundred seventy-two million, three hundred sixty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2593 5186 10372 12965 25930 51860 64825 129650 259300 6723649 13447298 26894596 33618245 67236490 134472980 168091225 336182450 672364900