Search a number
-
+
248930288 = 24231793779
BaseRepresentation
bin11101101011001…
…01111111110000
3122100101222011022
432311211333300
51002211232123
640411235012
76111605165
oct1665457760
9570358138
10248930288
11118573012
126b448a68
133c759839
14250bc06c
1516cc21c8
hexed65ff0

248930288 has 40 divisors (see below), whose sum is σ = 506217600. Its totient is φ = 118357184.

The previous prime is 248930249. The next prime is 248930291. The reversal of 248930288 is 882039842.

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, 63983 + ... + 67761.

It is an arithmetic number, because the mean of its divisors is an integer number (12655440).

Almost surely, 2248930288 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 248930288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253108800).

248930288 is an abundant number, since it is smaller than the sum of its proper divisors (257287312).

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

248930288 is a wasteful number, since it uses less digits than its factorization.

248930288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 248930288 is about 15777.5247741843. The cubic root of 248930288 is about 629.0607385974.

The spelling of 248930288 in words is "two hundred forty-eight million, nine hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 46 92 179 184 358 368 716 1432 2864 3779 4117 7558 8234 15116 16468 30232 32936 60464 65872 86917 173834 347668 676441 695336 1352882 1390672 2705764 5411528 10823056 15558143 31116286 62232572 124465144 248930288