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827140413 = 31125064861
BaseRepresentation
bin110001010011010…
…010100100111101
32010122102002100010
4301103102210331
53143221443123
6214024253433
726332402041
oct6123224475
92118362303
10827140413
11394998920
121b1011279
131024963c8
147bbd2021
154c938993
hex314d293d

827140413 has 8 divisors (see below), whose sum is σ = 1203113376. Its totient is φ = 501297200.

The previous prime is 827140397. The next prime is 827140417. The reversal of 827140413 is 314041728.

827140413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 827140413 - 24 = 827140397 is a prime.

It is a super-3 number, since 3×8271404133 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827140417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12532398 + ... + 12532463.

It is an arithmetic number, because the mean of its divisors is an integer number (150389172).

Almost surely, 2827140413 is an apocalyptic number.

It is an amenable number.

827140413 is a deficient number, since it is larger than the sum of its proper divisors (375972963).

827140413 is a wasteful number, since it uses less digits than its factorization.

827140413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25064875.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 827140413 is about 28760.0489046872. The cubic root of 827140413 is about 938.6991259207.

It can be divided in two parts, 8271 and 40413, that added together give a palindrome (48684).

The spelling of 827140413 in words is "eight hundred twenty-seven million, one hundred forty thousand, four hundred thirteen".

Divisors: 1 3 11 33 25064861 75194583 275713471 827140413