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461449230 = 235112235527
BaseRepresentation
bin11011100000010…
…010100000001110
31012011022001100020
4123200102200032
51421112333410
6113442243010
714302153014
oct3340224016
91164261306
10461449230
11217526700
1210a656466
13747a80a8
14453dc8b4
152a7a0a70
hex1b81280e

461449230 has 96 divisors (see below), whose sum is σ = 1270467072. Its totient is φ = 106983360.

The previous prime is 461449187. The next prime is 461449231. The reversal of 461449230 is 32944164.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 461449191 and 461449200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461449231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80727 + ... + 86253.

It is an arithmetic number, because the mean of its divisors is an integer number (13234032).

Almost surely, 2461449230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461449230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635233536).

461449230 is an abundant number, since it is smaller than the sum of its proper divisors (809017842).

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

461449230 is a wasteful number, since it uses less digits than its factorization.

461449230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 461449230 is about 21481.3693697585. The cubic root of 461449230 is about 772.7540832178.

The spelling of 461449230 in words is "four hundred sixty-one million, four hundred forty-nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 121 138 165 230 242 253 330 345 363 506 605 690 726 759 1210 1265 1518 1815 2530 2783 3630 3795 5527 5566 7590 8349 11054 13915 16581 16698 27635 27830 33162 41745 55270 60797 82905 83490 121594 127121 165810 182391 254242 303985 364782 381363 607970 635605 668767 762726 911955 1271210 1337534 1398331 1823910 1906815 2006301 2796662 3343835 3813630 4012602 4194993 6687670 6991655 8389986 10031505 13983310 15381641 20063010 20974965 30763282 41949930 46144923 76908205 92289846 153816410 230724615 461449230