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485115264 = 27331723359
BaseRepresentation
bin11100111010100…
…100010110000000
31020210211102001000
4130322210112000
51443142142024
6120045412000
715010261134
oct3472442600
91223742030
10485115264
11229920307
1211656a000
137967306a
14485dd3c4
152c8c7cc9
hex1cea4580

485115264 has 256 divisors, whose sum is σ = 1586304000. Its totient is φ = 145170432.

The previous prime is 485115263. The next prime is 485115283. The reversal of 485115264 is 462511584.

It is a happy number.

485115264 is a `hidden beast` number, since 485 + 115 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485115263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351117 + ... + 1351475.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2485115264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

485115264 is an abundant number, since it is smaller than the sum of its proper divisors (1101188736).

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

485115264 is a wasteful number, since it uses less digits than its factorization.

485115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 404 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 485115264 is about 22025.3323243941. The cubic root of 485115264 is about 785.7450370522.

The spelling of 485115264 in words is "four hundred eighty-five million, one hundred fifteen thousand, two hundred sixty-four".