Search a number
-
+
248882260 = 225113136493
BaseRepresentation
bin11101101010110…
…10010001010100
3122100022112021111
432311122101110
51002203213020
640410224404
76111315154
oct1665322124
9570275244
10248882260
1111853aa20
126b425104
133c740a13
14250a8764
1516cb2d5a
hexed5a454

248882260 has 48 divisors (see below), whose sum is σ = 588575232. Its totient is φ = 87580800.

The previous prime is 248882233. The next prime is 248882269. The reversal of 248882260 is 62288842.

248882260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248882269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11427 + ... + 25066.

It is an arithmetic number, because the mean of its divisors is an integer number (12261984).

Almost surely, 2248882260 is an apocalyptic number.

248882260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248882260 is an abundant number, since it is smaller than the sum of its proper divisors (339692972).

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

248882260 is a wasteful number, since it uses less digits than its factorization.

248882260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36544 (or 36542 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 248882260 is about 15776.0026622716. The cubic root of 248882260 is about 629.0202795160.

It can be divided in two parts, 2488 and 82260, that added together give a palindrome (84748).

The spelling of 248882260 in words is "two hundred forty-eight million, eight hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 36493 72986 145972 182465 364930 401423 729860 802846 1131283 1605692 2007115 2262566 4014230 4525132 5656415 8028460 11312830 12444113 22625660 24888226 49776452 62220565 124441130 248882260