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459799144 = 23721172957
BaseRepresentation
bin11011011001111…
…111101001101000
31012001012012211221
4123121333221220
51420202033034
6113343031424
714252141200
oct3331775150
91161165757
10459799144
112165a99a2
12109b9b574
137434accc
14450cd400
152a576bb4
hex1b67fa68

459799144 has 24 divisors (see below), whose sum is σ = 1002879090. Its totient is φ = 197056608.

The previous prime is 459799139. The next prime is 459799157. The reversal of 459799144 is 441997954.

It can be written as a sum of positive squares in only one way, i.e., 438064900 + 21734244 = 20930^2 + 4662^2 .

It is a super-2 number, since 2×4597991442 = 422830505646265472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 459799091 and 459799100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 586087 + ... + 586870.

Almost surely, 2459799144 is an apocalyptic number.

It is an amenable number.

459799144 is an abundant number, since it is smaller than the sum of its proper divisors (543079946).

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

459799144 is a wasteful number, since it uses less digits than its factorization.

459799144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172977 (or 1172966 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 52.

The square root of 459799144 is about 21442.9275986279. The cubic root of 459799144 is about 771.8318917699.

The spelling of 459799144 in words is "four hundred fifty-nine million, seven hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 1172957 2345914 4691828 8210699 9383656 16421398 32842796 57474893 65685592 114949786 229899572 459799144