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24129828 = 2232739907
BaseRepresentation
bin101110000001…
…1000100100100
31200101220220100
41130003010210
522134123303
62221104100
7412046232
oct134030444
950356810
1024129828
1112691108
1280b8030
134ccb108
1432c1952
1521b98a3
hex1703124

24129828 has 36 divisors (see below), whose sum is σ = 61144720. Its totient is φ = 8023536.

The previous prime is 24129823. The next prime is 24129841. The reversal of 24129828 is 82892142.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24129792 and 24129801.

It is not an unprimeable number, because it can be changed into a prime (24129821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26151 + ... + 27057.

Almost surely, 224129828 is an apocalyptic number.

It is an amenable number.

24129828 is an abundant number, since it is smaller than the sum of its proper divisors (37014892).

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

24129828 is a wasteful number, since it uses less digits than its factorization.

24129828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1651 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 24129828 is about 4912.2121289700. The cubic root of 24129828 is about 288.9691022710.

The spelling of 24129828 in words is "twenty-four million, one hundred twenty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 739 907 1478 1814 2217 2721 2956 3628 4434 5442 6651 8163 8868 10884 13302 16326 26604 32652 670273 1340546 2010819 2681092 4021638 6032457 8043276 12064914 24129828