Search a number
-
+
459661128 = 23347407501
BaseRepresentation
bin11011011001011…
…101111101001000
31012000221012112020
4123121131331020
51420133124003
6113340044440
714251024623
oct3331357510
91160835466
10459661128
11216515233
12109b33720
1374300244
1445094dba
152a54ad53
hex1b65df48

459661128 has 32 divisors (see below), whose sum is σ = 1173605760. Its totient is φ = 149960000.

The previous prime is 459661123. The next prime is 459661157. The reversal of 459661128 is 821166954.

It is a super-2 number, since 2×4596611282 = 422576705188464768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459661128.

It is not an unprimeable number, because it can be changed into a prime (459661123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202623 + ... + 204878.

It is an arithmetic number, because the mean of its divisors is an integer number (36675180).

Almost surely, 2459661128 is an apocalyptic number.

It is an amenable number.

459661128 is an abundant number, since it is smaller than the sum of its proper divisors (713944632).

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

459661128 is a wasteful number, since it uses less digits than its factorization.

459661128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407557 (or 407553 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 459661128 is about 21439.7091398181. The cubic root of 459661128 is about 771.7546581836.

The spelling of 459661128 in words is "four hundred fifty-nine million, six hundred sixty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 407501 815002 1222503 1630004 2445006 3260008 4890012 9780024 19152547 38305094 57457641 76610188 114915282 153220376 229830564 459661128