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459809140 = 22572469193
BaseRepresentation
bin11011011010000…
…010000101110100
31012001012201120011
4123122002011310
51420202343030
6113343150004
714252212300
oct3332020564
91161181504
10459809140
1121660645a
12109ba5304
137435271b
14450d2d00
152a579b2a
hex1b682174

459809140 has 36 divisors (see below), whose sum is σ = 1123250436. Its totient is φ = 157648512.

The previous prime is 459809113. The next prime is 459809153. The reversal of 459809140 is 41908954.

It can be written as a sum of positive squares in 2 ways, for example, as 338412816 + 121396324 = 18396^2 + 11018^2 .

It is a super-2 number, since 2×4598091402 = 422848890455079200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 459809093 and 459809102.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 233617 + ... + 235576.

It is an arithmetic number, because the mean of its divisors is an integer number (31201401).

Almost surely, 2459809140 is an apocalyptic number.

It is an amenable number.

459809140 is an abundant number, since it is smaller than the sum of its proper divisors (663441296).

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

459809140 is a wasteful number, since it uses less digits than its factorization.

459809140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469216 (or 469207 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 459809140 is about 21443.1606812056. The cubic root of 459809140 is about 771.8374849191.

The spelling of 459809140 in words is "four hundred fifty-nine million, eight hundred nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 469193 938386 1876772 2345965 3284351 4691930 6568702 9383860 13137404 16421755 22990457 32843510 45980914 65687020 91961828 114952285 229904570 459809140