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11416248 = 2333173109
BaseRepresentation
bin101011100011…
…001010111000
3210111000011000
4223203022320
510410304443
61044405000
7166015344
oct53431270
923430130
1011416248
116498218
1239a6760
13249939c
141732624
1510078d3
hexae32b8

11416248 has 64 divisors (see below), whose sum is σ = 33588000. Its totient is φ = 3580416.

The previous prime is 11416243. The next prime is 11416259. The reversal of 11416248 is 84261411.

It is a happy number.

11416248 is a `hidden beast` number, since 1 + 1 + 416 + 248 = 666.

11416248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11416243) 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, 2118 + ... + 5226.

Almost surely, 211416248 is an apocalyptic number.

11416248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11416248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16794000).

11416248 is an abundant number, since it is smaller than the sum of its proper divisors (22171752).

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

11416248 is a wasteful number, since it uses less digits than its factorization.

11416248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3131 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11416248 is about 3378.7938676398. The cubic root of 11416248 is about 225.1685847648.

Adding to 11416248 its reverse (84261411), we get a palindrome (95677659).

It can be divided in two parts, 11416 and 248, that added together give a square (11664 = 1082).

The spelling of 11416248 in words is "eleven million, four hundred sixteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3109 3672 6218 9327 12436 18654 24872 27981 37308 52853 55962 74616 83943 105706 111924 158559 167886 211412 223848 317118 335772 422824 475677 634236 671544 951354 1268472 1427031 1902708 2854062 3805416 5708124 11416248