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500066964 = 223213890749
BaseRepresentation
bin11101110011100…
…110101010010100
31021211222000220200
4131303212222110
52011004120324
6121342100500
715251333115
oct3563465224
91254860820
10500066964
11237302791
1211b57a730
137c7a9717
144a5b220c
152dd7cec9
hex1dce6a94

500066964 has 18 divisors (see below), whose sum is σ = 1264058250. Its totient is φ = 166688976.

The previous prime is 500066933. The next prime is 500066969. The reversal of 500066964 is 469660005.

It is a happy number.

500066964 is a `hidden beast` number, since 500 + 0 + 66 + 96 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 290975364 + 209091600 = 17058^2 + 14460^2 .

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: 13890749 = 500066964 / (5 + 0 + 0 + 0 + 6 + 6 + 9 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500066969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6945339 + ... + 6945410.

Almost surely, 2500066964 is an apocalyptic number.

It is an amenable number.

500066964 is an abundant number, since it is smaller than the sum of its proper divisors (763991286).

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

500066964 is a wasteful number, since it uses less digits than its factorization.

500066964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13890759 (or 13890754 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 500066964 is about 22362.1770854271. The cubic root of 500066964 is about 793.7359573104.

The spelling of 500066964 in words is "five hundred million, sixty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 13890749 27781498 41672247 55562996 83344494 125016741 166688988 250033482 500066964