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1685051424 = 2536717607
BaseRepresentation
bin110010001101111…
…1101100000100000
311100102201111000000
41210123331200200
511422333121144
6435112300000
756520462240
oct14433754040
94312644000
101685051424
11795193091
123b03a1600
1320b144464
1411db13b20
159cdee769
hex646fd820

1685051424 has 336 divisors, whose sum is σ = 6028743168. Its totient is φ = 452376576.

The previous prime is 1685051413. The next prime is 1685051429. The reversal of 1685051424 is 4241505861.

It is a happy number.

1685051424 is a `hidden beast` number, since 1 + 6 + 8 + 505 + 142 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (1685051429) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2775729 + ... + 2776335.

It is an arithmetic number, because the mean of its divisors is an integer number (17942688).

Almost surely, 21685051424 is an apocalyptic number.

1685051424 is a gapful number since it is divisible by the number (14) 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 1685051424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014371584).

1685051424 is an abundant number, since it is smaller than the sum of its proper divisors (4343691744).

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

1685051424 is an equidigital number, since it uses as much as digits as its factorization.

1685051424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1685051424 is about 41049.3778759191. The cubic root of 1685051424 is about 1189.9746773323.

The spelling of 1685051424 in words is "one billion, six hundred eighty-five million, fifty-one thousand, four hundred twenty-four".