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459702945 = 3451387313
BaseRepresentation
bin11011011001101…
…000001010100001
31012001000022220000
4123121220022201
51420140443240
6113341010213
714251260552
oct3331501241
91161008800
10459702945
11216543699
12109b53969
13743162a0
14450a6329
152a558430
hex1b6682a1

459702945 has 40 divisors (see below), whose sum is σ = 887459496. Its totient is φ = 226312704.

The previous prime is 459702941. The next prime is 459702953. The reversal of 459702945 is 549207954.

It can be written as a sum of positive squares in 4 ways, for example, as 10093329 + 449609616 = 3177^2 + 21204^2 .

It is not a de Polignac number, because 459702945 - 22 = 459702941 is a prime.

It is a super-2 number, since 2×4597029452 = 422653595283346050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 459702945.

It is not an unprimeable number, because it can be changed into a prime (459702941) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 38392 + ... + 48921.

Almost surely, 2459702945 is an apocalyptic number.

459702945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

459702945 is a deficient number, since it is larger than the sum of its proper divisors (427756551).

459702945 is a wasteful number, since it uses less digits than its factorization.

459702945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87343 (or 87334 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 459702945 is about 21440.6843407574. The cubic root of 459702945 is about 771.7780605584.

The spelling of 459702945 in words is "four hundred fifty-nine million, seven hundred two thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 87313 261939 436565 785817 1135069 1309695 2357451 3405207 3929085 5675345 7072353 10215621 11787255 17026035 30646863 35361765 51078105 91940589 153234315 459702945