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645451040 = 25513310313
BaseRepresentation
bin100110011110001…
…100110100100000
31122222112022101002
4212132030310200
52310213413130
6144014131132
721665146313
oct4636146440
91588468332
10645451040
11301381a13
121601b0aa8
13a39505c0
1461a1897a
153b9e9b45
hex2678cd20

645451040 has 48 divisors (see below), whose sum is σ = 1642181688. Its totient is φ = 238319616.

The previous prime is 645451039. The next prime is 645451049. The reversal of 645451040 is 40154546.

It can be written as a sum of positive squares in 4 ways, for example, as 595945744 + 49505296 = 24412^2 + 7036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 645450994 and 645451012.

It is not an unprimeable number, because it can be changed into a prime (645451049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153077 + ... + 157236.

Almost surely, 2645451040 is an apocalyptic number.

It is an amenable number.

645451040 is an abundant number, since it is smaller than the sum of its proper divisors (996730648).

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

645451040 is a wasteful number, since it uses less digits than its factorization.

645451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310341 (or 310333 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 645451040 is about 25405.7284878824. The cubic root of 645451040 is about 864.2136103069.

The spelling of 645451040 in words is "six hundred forty-five million, four hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 310313 620626 1241252 1551565 2482504 3103130 4034069 4965008 6206260 8068138 9930016 12412520 16136276 20170345 24825040 32272552 40340690 49650080 64545104 80681380 129090208 161362760 322725520 645451040