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5206512 = 243313499
BaseRepresentation
bin10011110111000111110000
3100210111222210
4103313013300
52313102022
6303332120
762153223
oct23670760
910714883
105206512
112a36803
1218b1040
131103a9c
149975ba
156cca0c
hex4f71f0

5206512 has 40 divisors (see below), whose sum is σ = 13888000. Its totient is φ = 1679040.

The previous prime is 5206511. The next prime is 5206541. The reversal of 5206512 is 2156025.

It is a super-2 number, since 2×52065122 = 54215534412288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262 + ... + 3237.

It is an arithmetic number, because the mean of its divisors is an integer number (347200).

Almost surely, 25206512 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 5206512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944000).

5206512 is an abundant number, since it is smaller than the sum of its proper divisors (8681488).

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

5206512 is a wasteful number, since it uses less digits than its factorization.

5206512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5206512 is about 2281.7782539064. The cubic root of 5206512 is about 173.3201107599.

The spelling of 5206512 in words is "five million, two hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 3499 6998 10497 13996 20994 27992 41988 55984 83976 108469 167952 216938 325407 433876 650814 867752 1301628 1735504 2603256 5206512