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2923564900 = 225254072
BaseRepresentation
bin1010111001000010…
…0000111101100100
321112202012111002111
42232100200331210
521441413034100
61202034050404
7132306614554
oct25620407544
97482174074
102923564900
111270304643
12697119a04
13377901979
141da3cb164
151219e66ba
hexae420f64

2923564900 has 27 divisors (see below), whose sum is σ = 6345309369. Its totient is φ = 1169209680.

The previous prime is 2923564877. The next prime is 2923564913. The reversal of 2923564900 is 94653292.

The square root of 2923564900 is 54070.

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., 1052483364 + 1871081536 = 32442^2 + 43256^2 .

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, 537997 + ... + 543403.

Almost surely, 22923564900 is an apocalyptic number.

2923564900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2923564900 is the 54070-th square number.

It is an amenable number.

2923564900 is an abundant number, since it is smaller than the sum of its proper divisors (3421744469).

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

2923564900 is an frugal number, since it uses more digits than its factorization.

2923564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10828 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The cubic root of 2923564900 is about 1429.8953254432.

The spelling of 2923564900 in words is "two billion, nine hundred twenty-three million, five hundred sixty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5407 10814 21628 27035 54070 108140 135175 270350 540700 29235649 58471298 116942596 146178245 292356490 584712980 730891225 1461782450 2923564900