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453008656 = 241723132
BaseRepresentation
bin11011000000000…
…101110100010000
31011120102020001101
4123000011310100
51411432234111
6112541314144
714140336642
oct3300056420
91146366041
10453008656
11212791121
12107865954
1372b11279
1444242892
1529b84bc1
hex1b005d10

453008656 has 45 divisors (see below), whose sum is σ = 935359311. Its totient is φ = 212499456.

The previous prime is 453008653. The next prime is 453008663. The reversal of 453008656 is 656800354.

The square root of 453008656 is 21284.

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 71978256 + 381030400 = 8484^2 + 19520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (453008651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1447156 + ... + 1447468.

Almost surely, 2453008656 is an apocalyptic number.

453008656 is the 21284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453008656

453008656 is an abundant number, since it is smaller than the sum of its proper divisors (482350655).

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

453008656 is an equidigital number, since it uses as much as digits as its factorization.

453008656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The cubic root of 453008656 is about 768.0134636673.

It can be divided in two parts, 45300 and 8656, that added together give a triangular number (53956 = T328).

The spelling of 453008656 in words is "four hundred fifty-three million, eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 313 578 626 1156 1252 2312 2504 4624 5008 5321 10642 21284 42568 85136 90457 97969 180914 195938 361828 391876 723656 783752 1447312 1567504 1665473 3330946 6661892 13323784 26647568 28313041 56626082 113252164 226504328 453008656