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461142132 = 223112317591
BaseRepresentation
bin11011011111000…
…111100001110100
31012010201110002020
4123133013201310
51421023022012
6113431513140
714266433463
oct3337074164
91163643066
10461142132
11217336a00
1210a5287b0
13746cb389
144535c9da
152a73ea8c
hex1b7c7874

461142132 has 36 divisors (see below), whose sum is σ = 1182712608. Its totient is φ = 139739600.

The previous prime is 461142113. The next prime is 461142151. The reversal of 461142132 is 231241164.

It is an interprime number because it is at equal distance from previous prime (461142113) and next prime (461142151).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 157344 + ... + 160247.

It is an arithmetic number, because the mean of its divisors is an integer number (32853128).

Almost surely, 2461142132 is an apocalyptic number.

It is an amenable number.

461142132 is an abundant number, since it is smaller than the sum of its proper divisors (721570476).

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

461142132 is a wasteful number, since it uses less digits than its factorization.

461142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317620 (or 317607 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 461142132 is about 21474.2201721040. The cubic root of 461142132 is about 772.5826205869.

Adding to 461142132 its reverse (231241164), we get a palindrome (692383296).

The spelling of 461142132 in words is "four hundred sixty-one million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 317591 635182 952773 1270364 1905546 3493501 3811092 6987002 10480503 13974004 20961006 38428511 41922012 76857022 115285533 153714044 230571066 461142132