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5206416 = 243791373
BaseRepresentation
bin10011110111000110010000
3100210111212020
4103313012100
52313101131
6303331440
762153025
oct23670620
910714766
105206416
112a36726
1218b0b80
131103a27
1499754c
156cc996
hex4f7190

5206416 has 40 divisors (see below), whose sum is σ = 13630080. Its totient is φ = 1712256.

The previous prime is 5206393. The next prime is 5206417. The reversal of 5206416 is 6146025.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5206417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3106 + ... + 4478.

It is an arithmetic number, because the mean of its divisors is an integer number (340752).

Almost surely, 25206416 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 5206416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815040).

5206416 is an abundant number, since it is smaller than the sum of its proper divisors (8423664).

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

5206416 is a wasteful number, since it uses less digits than its factorization.

5206416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

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

The square root of 5206416 is about 2281.7572175847. The cubic root of 5206416 is about 173.3190455021.

The spelling of 5206416 in words is "five million, two hundred six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1373 1896 2746 3792 4119 5492 8238 10984 16476 21968 32952 65904 108467 216934 325401 433868 650802 867736 1301604 1735472 2603208 5206416