Search a number
-
+
5246016 = 26389307
BaseRepresentation
bin10100000000110001000000
3100212112011220
4110000301000
52320333031
6304235040
762406336
oct24006100
910775156
105246016
112a63456
12190ba80
131118a69
149a7b56
156d9596
hex500c40

5246016 has 56 divisors (see below), whose sum is σ = 14081760. Its totient is φ = 1723392.

The previous prime is 5246011. The next prime is 5246023. The reversal of 5246016 is 6106425.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5246011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16935 + ... + 17241.

It is an arithmetic number, because the mean of its divisors is an integer number (251460).

Almost surely, 25246016 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 5246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040880).

5246016 is an abundant number, since it is smaller than the sum of its proper divisors (8835744).

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

5246016 is a wasteful number, since it uses less digits than its factorization.

5246016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5246016 is about 2290.4183024068. The cubic root of 5246016 is about 173.7573576582.

The spelling of 5246016 in words is "five million, two hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 307 356 534 614 712 921 1068 1228 1424 1842 2136 2456 2848 3684 4272 4912 5696 7368 8544 9824 14736 17088 19648 27323 29472 54646 58944 81969 109292 163938 218584 327876 437168 655752 874336 1311504 1748672 2623008 5246016