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450868644 = 2232113137809
BaseRepresentation
bin11010110111111…
…011010110100100
31011102101111111200
4122313323112210
51410410244034
6112423402500
714113214562
oct3267732644
91142344450
10450868644
1121155a316
12106bb3430
13725421a5
1443c46a32
15298b0a99
hex1adfb5a4

450868644 has 72 divisors (see below), whose sum is σ = 1159605720. Its totient is φ = 147689472.

The previous prime is 450868591. The next prime is 450868703. The reversal of 450868644 is 446868054.

450868644 is a `hidden beast` number, since 450 + 86 + 86 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46376100 + 404492544 = 6810^2 + 20112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 450868644.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556912 + ... + 557720.

It is an arithmetic number, because the mean of its divisors is an integer number (16105635).

Almost surely, 2450868644 is an apocalyptic number.

It is an amenable number.

450868644 is an abundant number, since it is smaller than the sum of its proper divisors (708737076).

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

450868644 is a wasteful number, since it uses less digits than its factorization.

450868644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 450868644 is about 21233.6677001407. The cubic root of 450868644 is about 766.8021896109.

The spelling of 450868644 in words is "four hundred fifty million, eight hundred sixty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 137 226 274 339 411 452 548 678 809 822 1017 1233 1356 1618 1644 2034 2427 2466 3236 4068 4854 4932 7281 9708 14562 15481 29124 30962 46443 61924 91417 92886 110833 139329 182834 185772 221666 274251 278658 332499 365668 443332 548502 557316 664998 822753 997497 1097004 1329996 1645506 1994994 3291012 3989988 12524129 25048258 37572387 50096516 75144774 112717161 150289548 225434322 450868644