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5116144 = 241141709
BaseRepresentation
bin10011100001000011110000
3100121221000211
4103201003300
52302204034
6301353504
761325605
oct23410360
910557024
105116144
112984920
121868894
1310a1907
149726ac
156b0d64
hex4e10f0

5116144 has 40 divisors (see below), whose sum is σ = 11093040. Its totient is φ = 2265600.

The previous prime is 5116141. The next prime is 5116169. The reversal of 5116144 is 4416115.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116141) 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, 6862 + ... + 7570.

It is an arithmetic number, because the mean of its divisors is an integer number (277326).

Almost surely, 25116144 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 5116144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546520).

5116144 is an abundant number, since it is smaller than the sum of its proper divisors (5976896).

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

5116144 is a wasteful number, since it uses less digits than its factorization.

5116144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 5116144 is about 2261.8894756376. The cubic root of 5116144 is about 172.3114961059.

The spelling of 5116144 in words is "five million, one hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 709 902 1418 1804 2836 3608 5672 7216 7799 11344 15598 29069 31196 58138 62392 116276 124784 232552 319759 465104 639518 1279036 2558072 5116144