Search a number
-
+
11798248 = 23711107179
BaseRepresentation
bin101101000000…
…011011101000
3211012102011011
4231000123220
511010020443
61100513304
7202166140
oct55003350
924172134
1011798248
116729220
123b4b834
1325a1217
1417d1920
151080b9d
hexb406e8

11798248 has 64 divisors (see below), whose sum is σ = 27993600. Its totient is φ = 4528320.

The previous prime is 11798219. The next prime is 11798251. The reversal of 11798248 is 84289711.

It is a happy number.

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 self number, because there is not a number n which added to its sum of digits gives 11798248.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65823 + ... + 66001.

It is an arithmetic number, because the mean of its divisors is an integer number (437400).

Almost surely, 211798248 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 11798248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996800).

11798248 is an abundant number, since it is smaller than the sum of its proper divisors (16195352).

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

11798248 is a wasteful number, since it uses less digits than its factorization.

11798248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its digits is 32256, while the sum is 40.

The square root of 11798248 is about 3434.8577845378. The cubic root of 11798248 is about 227.6525435092.

The spelling of 11798248 in words is "eleven million, seven hundred ninety-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 107 154 179 214 308 358 428 616 716 749 856 1177 1253 1432 1498 1969 2354 2506 2996 3938 4708 5012 5992 7876 8239 9416 10024 13783 15752 16478 19153 27566 32956 38306 55132 65912 76612 110264 134071 153224 210683 268142 421366 536284 842732 1072568 1474781 1685464 2949562 5899124 11798248