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248727264 = 2532590909
BaseRepresentation
bin11101101001101…
…00011011100000
3122100000122122220
432310310123200
51002133233024
640403031040
76110101242
oct1664643340
9570018586
10248727264
11118444525
126b36b480
133c6b82c6
1425068092
1516c81e79
hexed346e0

248727264 has 24 divisors (see below), whose sum is σ = 652909320. Its totient is φ = 82909056.

The previous prime is 248727257. The next prime is 248727329. The reversal of 248727264 is 462727842.

248727264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1295359 + ... + 1295550.

It is an arithmetic number, because the mean of its divisors is an integer number (27204555).

Almost surely, 2248727264 is an apocalyptic number.

248727264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248727264 is an abundant number, since it is smaller than the sum of its proper divisors (404182056).

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

248727264 is a wasteful number, since it uses less digits than its factorization.

248727264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590922 (or 2590914 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 248727264 is about 15771.0894994607. The cubic root of 248727264 is about 628.8896744214.

The spelling of 248727264 in words is "two hundred forty-eight million, seven hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2590909 5181818 7772727 10363636 15545454 20727272 31090908 41454544 62181816 82909088 124363632 248727264