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4112829 = 33747463
BaseRepresentation
bin1111101100000110111101
321201221202000
433230012331
52023102304
6224052513
746646520
oct17540675
97657660
104112829
11235a036
121464139
13b10036
14790bb7
15563939
hex3ec1bd

4112829 has 32 divisors (see below), whose sum is σ = 7127040. Its totient is φ = 2295216.

The previous prime is 4112813. The next prime is 4112851. The reversal of 4112829 is 9282114.

It is not a de Polignac number, because 4112829 - 24 = 4112813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112629) 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, 8652 + ... + 9114.

It is an arithmetic number, because the mean of its divisors is an integer number (222720).

Almost surely, 24112829 is an apocalyptic number.

It is an amenable number.

4112829 is a deficient number, since it is larger than the sum of its proper divisors (3014211).

4112829 is a wasteful number, since it uses less digits than its factorization.

4112829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4112829 is about 2028.0110946442. The cubic root of 4112829 is about 160.2188281816.

It can be divided in two parts, 411 and 2829, that added together give a triangular number (3240 = T80).

The spelling of 4112829 in words is "four million, one hundred twelve thousand, eight hundred twenty-nine".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 463 987 1269 1389 2961 3241 4167 8883 9723 12501 21761 29169 65283 87507 152327 195849 456981 587547 1370943 4112829