Search a number
-
+
11487944 = 2313229293
BaseRepresentation
bin101011110100…
…101011001000
3210121122111102
4223310223020
510420103234
61050120532
7166434356
oct53645310
923548442
1011487944
116537076
123a20148
1324c2c00
1417507d6
15101dc7e
hexaf4ac8

11487944 has 48 divisors (see below), whose sum is σ = 24210900. Its totient is φ = 5101824.

The previous prime is 11487941. The next prime is 11487967. The reversal of 11487944 is 44978411.

11487944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4571044 + 6916900 = 2138^2 + 2630^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11487898 and 11487907.

It is not an unprimeable number, because it can be changed into a prime (11487941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39062 + ... + 39354.

Almost surely, 211487944 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 11487944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12105450).

11487944 is an abundant number, since it is smaller than the sum of its proper divisors (12722956).

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

11487944 is a wasteful number, since it uses less digits than its factorization.

11487944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 11487944 is about 3389.3869652195. The cubic root of 11487944 is about 225.6389672474.

The spelling of 11487944 in words is "eleven million, four hundred eighty-seven thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 169 232 293 338 377 586 676 754 1172 1352 1508 2344 3016 3809 4901 7618 8497 9802 15236 16994 19604 30472 33988 39208 49517 67976 99034 110461 198068 220922 396136 441844 883688 1435993 2871986 5743972 11487944