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48317264 = 2417374801
BaseRepresentation
bin1011100001010…
…0001101010000
310100220202211022
42320110031100
544332123024
64443335012
71124455442
oct270241520
9110822738
1048317264
1125301526
1214221468
13a0194c8
1465ba492
15439635e
hex2e14350

48317264 has 40 divisors (see below), whose sum is σ = 101821608. Its totient is φ = 22118400.

The previous prime is 48317257. The next prime is 48317287. The reversal of 48317264 is 46271384.

It can be written as a sum of positive squares in 4 ways, for example, as 25200400 + 23116864 = 5020^2 + 4808^2 .

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, 7664 + ... + 12464.

Almost surely, 248317264 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 48317264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50910804).

48317264 is an abundant number, since it is smaller than the sum of its proper divisors (53504344).

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

48317264 is a wasteful number, since it uses less digits than its factorization.

48317264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4857 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 48317264 is about 6951.0620771217. The cubic root of 48317264 is about 364.2230649810.

The spelling of 48317264 in words is "forty-eight million, three hundred seventeen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 2516 4801 5032 9602 10064 19204 38408 76816 81617 163234 177637 326468 355274 652936 710548 1305872 1421096 2842192 3019829 6039658 12079316 24158632 48317264