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450045864 = 233259105943
BaseRepresentation
bin11010110100110…
…010011110101000
31011100211200212100
4122310302132220
51410202431424
6112354013400
714103220032
oct3264623650
91140750770
10450045864
11211048134
12106877260
1372314838
1443ab0c52
152979bdc9
hex1ad327a8

450045864 has 48 divisors (see below), whose sum is σ = 1239544800. Its totient is φ = 147471264.

The previous prime is 450045859. The next prime is 450045919. The reversal of 450045864 is 468540054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48724 + ... + 57219.

It is an arithmetic number, because the mean of its divisors is an integer number (25823850).

Almost surely, 2450045864 is an apocalyptic number.

It is an amenable number.

450045864 is an abundant number, since it is smaller than the sum of its proper divisors (789498936).

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

450045864 is a wasteful number, since it uses less digits than its factorization.

450045864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106014 (or 106007 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 450045864 is about 21214.2844329004. The cubic root of 450045864 is about 766.3354655949.

The spelling of 450045864 in words is "four hundred fifty million, forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 105943 211886 317829 423772 635658 847544 953487 1271316 1906974 2542632 3813948 6250637 7627896 12501274 18751911 25002548 37503822 50005096 56255733 75007644 112511466 150015288 225022932 450045864