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872020900 = 225229532
BaseRepresentation
bin110011111110011…
…111101110100100
32020202212020210101
4303332133232210
53241214132100
6222310233444
730416024662
oct6376375644
92222766711
10872020900
11408262233
12204055884
1310b87b4ca
1483b55c32
155185186a
hex33f9fba4

872020900 has 27 divisors (see below), whose sum is σ = 1892926371. Its totient is φ = 348690240.

The previous prime is 872020883. The next prime is 872020927. The reversal of 872020900 is 9020278.

The square root of 872020900 is 29530.

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 33802596 + 838218304 = 5814^2 + 28952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 293824 + ... + 296776.

Almost surely, 2872020900 is an apocalyptic number.

872020900 is the 29530-th square number.

It is an amenable number.

872020900 is an abundant number, since it is smaller than the sum of its proper divisors (1020905471).

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

872020900 is an equidigital number, since it uses as much as digits as its factorization.

872020900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 872020900 is about 955.3788688902.

The spelling of 872020900 in words is "eight hundred seventy-two million, twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2953 5906 11812 14765 29530 59060 73825 147650 295300 8720209 17440418 34880836 43601045 87202090 174404180 218005225 436010450 872020900