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453264100 = 225221292
BaseRepresentation
bin11011000001000…
…100001011100100
31011120220012110021
4123001010023210
51412013422400
6112551004524
714142452452
oct3301041344
91146805407
10453264100
11212946033
12107969744
1372ba0613
14442ab9d2
1529bd571a
hex1b0442e4

453264100 has 27 divisors (see below), whose sum is σ = 984045307. Its totient is φ = 181220480.

The previous prime is 453264073. The next prime is 453264107. The reversal of 453264100 is 1462354.

The square root of 453264100 is 21290.

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 68790436 + 384473664 = 8294^2 + 19608^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (453264107) 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, 211836 + ... + 213964.

Almost surely, 2453264100 is an apocalyptic number.

453264100 is the 21290-th square number.

It is an amenable number.

453264100 is an abundant number, since it is smaller than the sum of its proper divisors (530781207).

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

453264100 is an equidigital number, since it uses as much as digits as its factorization.

453264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 453264100 is about 768.1577931889.

Multiplying 453264100 by its sum of digits (25), we get a square (11331602500 = 1064502).

453264100 divided by its sum of digits (25) gives a square (18130564 = 42582).

The spelling of 453264100 in words is "four hundred fifty-three million, two hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2129 4258 8516 10645 21290 42580 53225 106450 212900 4532641 9065282 18130564 22663205 45326410 90652820 113316025 226632050 453264100