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450808992 = 25321792077
BaseRepresentation
bin11010110111101…
…100110010100000
31011102021110200100
4122313230302200
51410401341432
6112422222400
714112545634
oct3267546240
91142243610
10450808992
11211519517
12106b84a00
1372520caa
1443c2cdc4
152989d07c
hex1adecca0

450808992 has 72 divisors (see below), whose sum is σ = 1357413876. Its totient is φ = 141428736.

The previous prime is 450808961. The next prime is 450809003. The reversal of 450808992 is 299808054.

It can be written as a sum of positive squares in 2 ways, for example, as 422549136 + 28259856 = 20556^2 + 5316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 41143 + ... + 50934.

Almost surely, 2450808992 is an apocalyptic number.

It is an amenable number.

450808992 is an abundant number, since it is smaller than the sum of its proper divisors (906604884).

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

450808992 is a wasteful number, since it uses less digits than its factorization.

450808992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92110 (or 92099 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 450808992 is about 21232.2629976176. The cubic root of 450808992 is about 766.7683709646.

It can be divided in two parts, 450 and 808992, that multiplied together give a square (364046400 = 190802).

The spelling of 450808992 in words is "four hundred fifty million, eight hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 92077 184154 276231 368308 552462 736616 828693 1104924 1473232 1565309 1657386 2209848 2946464 3130618 3314772 4419696 4695927 6261236 6629544 8839392 9391854 12522472 13259088 14087781 18783708 25044944 26518176 28175562 37567416 50089888 56351124 75134832 112702248 150269664 225404496 450808992