Search a number
-
+
248490 = 232511251
BaseRepresentation
bin111100101010101010
3110121212100
4330222222
530422430
65154230
72053314
oct745252
9417770
10248490
1115a770
12bb976
1389148
14667b4
154d960
hex3caaa

248490 has 48 divisors (see below), whose sum is σ = 707616. Its totient is φ = 60000.

The previous prime is 248483. The next prime is 248509. The reversal of 248490 is 94842.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2248490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808).

248490 is an abundant number, since it is smaller than the sum of its proper divisors (459126).

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

248490 is a wasteful number, since it uses less digits than its factorization.

248490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 248490 is about 498.4877129880. The cubic root of 248490 is about 62.8689642269.

The spelling of 248490 in words is "two hundred forty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 251 330 495 502 753 990 1255 1506 2259 2510 2761 3765 4518 5522 7530 8283 11295 13805 16566 22590 24849 27610 41415 49698 82830 124245 248490