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4972900 = 22522232
BaseRepresentation
bin10010111110000101100100
3100100122112111
4102332011210
52233113100
6254330404
760161152
oct22760544
910318474
104972900
112897239
1217b9a04
13105165a
149363d2
156836ba
hex4be164

4972900 has 27 divisors (see below), whose sum is σ = 10839801. Its totient is φ = 1980240.

The previous prime is 4972897. The next prime is 4972909. The reversal of 4972900 is 92794.

The square root of 4972900 is 2230.

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

It can be written as a sum of positive squares in only one way, i.e., 1790244 + 3182656 = 1338^2 + 1784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4972909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22189 + ... + 22411.

Almost surely, 24972900 is an apocalyptic number.

4972900 is the 2230-th square number.

It is an amenable number.

4972900 is an abundant number, since it is smaller than the sum of its proper divisors (5866901).

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

4972900 is a wasteful number, since it uses less digits than its factorization.

4972900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The cubic root of 4972900 is about 170.6880991828.

It can be divided in two parts, 49 and 72900, that multiplied together give a square (3572100 = 18902).

The spelling of 4972900 in words is "four million, nine hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 223 446 892 1115 2230 4460 5575 11150 22300 49729 99458 198916 248645 497290 994580 1243225 2486450 4972900