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5206823424 = 29331197353
BaseRepresentation
bin1001101100101100…
…11101001000000000
3111102212120000222000
410312112131020000
541130421322144
62220400144000
7243013161135
oct46626351000
914385500860
105206823424
112232130560
121013908000
1364c96490a
1437573c58c
152071ac769
hex13659d200

5206823424 has 320 divisors, whose sum is σ = 17035159680. Its totient is φ = 1557135360.

The previous prime is 5206823423. The next prime is 5206823443. The reversal of 5206823424 is 4243286025.

5206823424 is a `hidden beast` number, since 5 + 206 + 8 + 23 + 424 = 666.

It is a super-2 number, since 2×52068234242 = 54222020337430167552, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206823423) 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 31 ways as a sum of consecutive naturals, for example, 14750032 + ... + 14750384.

It is an arithmetic number, because the mean of its divisors is an integer number (53234874).

Almost surely, 25206823424 is an apocalyptic number.

5206823424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5206823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517579840).

5206823424 is an abundant number, since it is smaller than the sum of its proper divisors (11828336256).

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

5206823424 is a wasteful number, since it uses less digits than its factorization.

5206823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5206823424 is about 72158.3219317079. The cubic root of 5206823424 is about 1733.2356636616.

The spelling of 5206823424 in words is "five billion, two hundred six million, eight hundred twenty-three thousand, four hundred twenty-four".