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9053829 = 332931373
BaseRepresentation
bin100010100010…
…011010000101
3122000222112000
4202202122011
54304210304
6522015513
7136646001
oct42423205
918028460
109053829
115124304
123047599
131b4ccc5
1412b9701
15bdc939
hex8a2685

9053829 has 32 divisors (see below), whose sum is σ = 14361600. Its totient is φ = 5624640.

The previous prime is 9053827. The next prime is 9053851. The reversal of 9053829 is 9283509.

It is not a de Polignac number, because 9053829 - 21 = 9053827 is a prime.

It is a super-2 number, since 2×90538292 = 163943639122482, which contains 22 as substring.

It is a Curzon number.

9053829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9053793 and 9053802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9053827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24087 + ... + 24459.

It is an arithmetic number, because the mean of its divisors is an integer number (448800).

Almost surely, 29053829 is an apocalyptic number.

It is an amenable number.

9053829 is a deficient number, since it is larger than the sum of its proper divisors (5307771).

9053829 is a wasteful number, since it uses less digits than its factorization.

9053829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9053829 is about 3008.9581253318. The cubic root of 9053829 is about 208.4222576473.

The spelling of 9053829 in words is "nine million, fifty-three thousand, eight hundred twenty-nine".

Divisors: 1 3 9 27 29 31 87 93 261 279 373 783 837 899 1119 2697 3357 8091 10071 10817 11563 24273 32451 34689 97353 104067 292059 312201 335327 1005981 3017943 9053829