Search a number
-
+
248196496 = 2423739239
BaseRepresentation
bin11101100101100…
…10110110010000
3122022000200120211
432302302312100
51002014241441
640343413504
76102430642
oct1662626620
9568020524
10248196496
11118111779
126b154294
133c560842
1424d6a892
1516bc9a81
hexecb2d90

248196496 has 40 divisors (see below), whose sum is σ = 508717440. Its totient is φ = 117063936.

The previous prime is 248196467. The next prime is 248196497. The reversal of 248196496 is 694691842.

248196496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248196497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22245 + ... + 31483.

It is an arithmetic number, because the mean of its divisors is an integer number (12717936).

Almost surely, 2248196496 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 248196496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254358720).

248196496 is an abundant number, since it is smaller than the sum of its proper divisors (260520944).

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

248196496 is a wasteful number, since it uses less digits than its factorization.

248196496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9343 (or 9337 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The square root of 248196496 is about 15754.2532669752. The cubic root of 248196496 is about 628.4420191286.

The spelling of 248196496 in words is "two hundred forty-eight million, one hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 73 92 146 184 292 368 584 1168 1679 3358 6716 9239 13432 18478 26864 36956 73912 147824 212497 424994 674447 849988 1348894 1699976 2697788 3399952 5395576 10791152 15512281 31024562 62049124 124098248 248196496