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264670432 = 25133491823
BaseRepresentation
bin11111100011010…
…00110011100000
3200110000122120121
433301220303200
51020223423212
642132450024
76362442625
oct1761506340
9613018517
10264670432
111264438a4
1274779914
1342aab030
142721834c
1518380d07
hexfc68ce0

264670432 has 48 divisors (see below), whose sum is σ = 563068800. Its totient is φ = 121738752.

The previous prime is 264670403. The next prime is 264670459. The reversal of 264670432 is 234076462.

264670432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144273 + ... + 146095.

It is an arithmetic number, because the mean of its divisors is an integer number (11730600).

Almost surely, 2264670432 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 264670432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281534400).

264670432 is an abundant number, since it is smaller than the sum of its proper divisors (298398368).

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

264670432 is a wasteful number, since it uses less digits than its factorization.

264670432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 264670432 is about 16268.6948462377. The cubic root of 264670432 is about 642.0494457635.

The spelling of 264670432 in words is "two hundred sixty-four million, six hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 349 416 698 1396 1823 2792 3646 4537 5584 7292 9074 11168 14584 18148 23699 29168 36296 47398 58336 72592 94796 145184 189592 379184 636227 758368 1272454 2544908 5089816 8270951 10179632 16541902 20359264 33083804 66167608 132335216 264670432