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264316632 = 23343925087
BaseRepresentation
bin11111100000100…
…10011011011000
3200102100200020220
433300102123120
51020131113012
642121120040
76356440266
oct1760223330
9612320226
10264316632
11126221aa8
1274629020
13429b5c98
1427165436
151831108c
hexfc126d8

264316632 has 32 divisors (see below), whose sum is σ = 662323200. Its totient is φ = 87901344.

The previous prime is 264316601. The next prime is 264316639. The reversal of 264316632 is 236613462.

264316632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 264316593 and 264316602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264316639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2008 + ... + 23079.

It is an arithmetic number, because the mean of its divisors is an integer number (20697600).

Almost surely, 2264316632 is an apocalyptic number.

It is an amenable number.

264316632 is an abundant number, since it is smaller than the sum of its proper divisors (398006568).

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

264316632 is a wasteful number, since it uses less digits than its factorization.

264316632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25535 (or 25531 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 264316632 is about 16257.8175657128. The cubic root of 264316632 is about 641.7632302043.

The spelling of 264316632 in words is "two hundred sixty-four million, three hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 439 878 1317 1756 2634 3512 5268 10536 25087 50174 75261 100348 150522 200696 301044 602088 11013193 22026386 33039579 44052772 66079158 88105544 132158316 264316632