Search a number
-
+
459827225 = 52113131063
BaseRepresentation
bin11011011010000…
…110100000011001
31012001020122100222
4123122012200121
51420203432400
6113343405425
714252316104
oct3332064031
91161218328
10459827225
11216619000
12109bb3875
137435aa20
14450d973b
152a580185
hex1b686819

459827225 has 48 divisors (see below), whose sum is σ = 676040064. Its totient is φ = 308404800.

The previous prime is 459827197. The next prime is 459827279. The reversal of 459827225 is 522728954.

It is not a de Polignac number, because 459827225 - 212 = 459823129 is a prime.

It is a super-2 number, since 2×4598272252 = 422882153702401250, which contains 22 as substring.

It is a Duffinian number.

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 47 ways as a sum of consecutive naturals, for example, 432044 + ... + 433106.

It is an arithmetic number, because the mean of its divisors is an integer number (14084168).

Almost surely, 2459827225 is an apocalyptic number.

It is an amenable number.

459827225 is a deficient number, since it is larger than the sum of its proper divisors (216212839).

459827225 is a wasteful number, since it uses less digits than its factorization.

459827225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1092 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 459827225 is about 21443.5823732883. The cubic root of 459827225 is about 771.8476039712.

The spelling of 459827225 in words is "four hundred fifty-nine million, eight hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 121 143 275 325 605 715 1063 1331 1573 3025 3575 5315 6655 7865 11693 13819 17303 26575 33275 39325 58465 69095 86515 128623 152009 292325 345475 432575 643115 760045 1414853 1672099 3215575 3800225 7074265 8360495 18393089 35371325 41802475 91965445 459827225