Search a number
-
+
466268004 = 223212951889
BaseRepresentation
bin11011110010101…
…010111101100100
31012111100212110100
4123302222331210
51423331034004
6114133424100
714361132636
oct3362527544
91174325410
10466268004
1121a218064
1211019b030
13757a4537
1445cd4a56
152ae03739
hex1bcaaf64

466268004 has 18 divisors (see below), whose sum is σ = 1178621990. Its totient is φ = 155422656.

The previous prime is 466267943. The next prime is 466268041. The reversal of 466268004 is 400862664.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 424277604 + 41990400 = 20598^2 + 6480^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12951889 = 466268004 / (4 + 6 + 6 + 2 + 6 + 8 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 466268004.

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 5 ways as a sum of consecutive naturals, for example, 6475909 + ... + 6475980.

Almost surely, 2466268004 is an apocalyptic number.

It is an amenable number.

466268004 is an abundant number, since it is smaller than the sum of its proper divisors (712353986).

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

466268004 is a wasteful number, since it uses less digits than its factorization.

466268004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12951899 (or 12951894 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 466268004 is about 21593.2397754482. The cubic root of 466268004 is about 775.4346526103.

The spelling of 466268004 in words is "four hundred sixty-six million, two hundred sixty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 12951889 25903778 38855667 51807556 77711334 116567001 155422668 233134002 466268004