Search a number
-
+
460989024 = 2534801969
BaseRepresentation
bin11011011110100…
…010001001100000
31012010102200001120
4123132202021200
51421003122044
6113424332240
714265225216
oct3336421140
91163380046
10460989024
11217241971
1210a474080
1374676792
144531ccb6
152a70e519
hex1b7a2260

460989024 has 24 divisors (see below), whose sum is σ = 1210096440. Its totient is φ = 153662976.

The previous prime is 460988987. The next prime is 460989029. The reversal of 460989024 is 420989064.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460989029) 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 3 ways as a sum of consecutive naturals, for example, 2400889 + ... + 2401080.

It is an arithmetic number, because the mean of its divisors is an integer number (50420685).

Almost surely, 2460989024 is an apocalyptic number.

It is an amenable number.

460989024 is an abundant number, since it is smaller than the sum of its proper divisors (749107416).

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

460989024 is a wasteful number, since it uses less digits than its factorization.

460989024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801982 (or 4801974 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 460989024 is about 21470.6549504201. The cubic root of 460989024 is about 772.4971070576.

The spelling of 460989024 in words is "four hundred sixty million, nine hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4801969 9603938 14405907 19207876 28811814 38415752 57623628 76831504 115247256 153663008 230494512 460989024