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461992036 = 221129772
BaseRepresentation
bin11011100010010…
…111000001100100
31012012022121221011
4123202113001210
51421232221121
6113502032004
714306603362
oct3342270144
91165277834
10461992036
11217867500
1210a878604
137493818c
1445500632
152a85b7e1
hex1b897064

461992036 has 27 divisors (see below), whose sum is σ = 889577017. Its totient is φ = 209781440.

The previous prime is 461992033. The next prime is 461992073. The reversal of 461992036 is 630299164.

The square root of 461992036 is 21494.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 432224100 + 29767936 = 20790^2 + 5456^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 461992036.

It is not an unprimeable number, because it can be changed into a prime (461992033) 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 8 ways as a sum of consecutive naturals, for example, 472380 + ... + 473356.

Almost surely, 2461992036 is an apocalyptic number.

461992036 is the 21494-th square number.

It is an amenable number.

461992036 is a deficient number, since it is larger than the sum of its proper divisors (427584981).

461992036 is an equidigital number, since it uses as much as digits as its factorization.

461992036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The cubic root of 461992036 is about 773.0569631907.

It can be divided in two parts, 46199203 and 6, that added together give a square (46199209 = 67972).

The spelling of 461992036 in words is "four hundred sixty-one million, nine hundred ninety-two thousand, thirty-six".

Divisors: 1 2 4 11 22 44 121 242 484 977 1954 3908 10747 21494 42988 118217 236434 472868 954529 1909058 3818116 10499819 20999638 41999276 115498009 230996018 461992036