Search a number
-
+
5196816 = 2432151239
BaseRepresentation
bin10011110100110000010000
3100210000200200
4103310300100
52312244231
6303215200
762113032
oct23646020
910700620
105196816
112a2a499
1218a7500
1310cc551
14993c52
156c9be6
hex4f4c10

5196816 has 60 divisors (see below), whose sum is σ = 14701440. Its totient is φ = 1713600.

The previous prime is 5196803. The next prime is 5196817. The reversal of 5196816 is 6186915.

5196816 = 703 + 713 + ... + 813.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5196817) 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, 21625 + ... + 21863.

It is an arithmetic number, because the mean of its divisors is an integer number (245024).

Almost surely, 25196816 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 5196816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350720).

5196816 is an abundant number, since it is smaller than the sum of its proper divisors (9504624).

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

5196816 is a wasteful number, since it uses less digits than its factorization.

5196816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 5196816 is about 2279.6526051133. The cubic root of 5196816 is about 173.2124535241.

Subtracting 5196816 from its reverse (6186915), we obtain a palindrome (990099).

It can be divided in two parts, 51968 and 16, that added together give a square (51984 = 2282).

The spelling of 5196816 in words is "five million, one hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 239 302 453 478 604 717 906 956 1208 1359 1434 1812 1912 2151 2416 2718 2868 3624 3824 4302 5436 5736 7248 8604 10872 11472 17208 21744 34416 36089 72178 108267 144356 216534 288712 324801 433068 577424 649602 866136 1299204 1732272 2598408 5196816