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829413241 = 3919211639
BaseRepresentation
bin110001011011111…
…101011101111001
32010210200120001221
4301123331131321
53144312210431
6214145112041
726360616256
oct6133753571
92123616057
10829413241
11396200498
121b1928621
13102ab0a87
147c22442d
154cc37111
hex316fd779

829413241 has 4 divisors (see below), whose sum is σ = 829628800. Its totient is φ = 829197684.

The previous prime is 829413229. The next prime is 829413257. The reversal of 829413241 is 142314928.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 829413241 - 27 = 829413113 is a prime.

It is a super-2 number, since 2×8294132412 = 1375852648692248162, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 829413197 and 829413206.

It is not an unprimeable number, because it can be changed into a prime (829411241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101901 + ... + 109738.

It is an arithmetic number, because the mean of its divisors is an integer number (207407200).

Almost surely, 2829413241 is an apocalyptic number.

It is an amenable number.

829413241 is a deficient number, since it is larger than the sum of its proper divisors (215559).

829413241 is a wasteful number, since it uses less digits than its factorization.

829413241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215558.

The product of its digits is 13824, while the sum is 34.

The square root of 829413241 is about 28799.5354302808. The cubic root of 829413241 is about 939.5581298036.

The spelling of 829413241 in words is "eight hundred twenty-nine million, four hundred thirteen thousand, two hundred forty-one".

Divisors: 1 3919 211639 829413241