Base | Representation |
---|---|
bin | 1001010001000001100100 |
3 | 11120102000000 |
4 | 21101001210 |
5 | 1110212103 |
6 | 124021300 |
7 | 26434500 |
oct | 11210144 |
9 | 4512000 |
10 | 2429028 |
11 | 1409a68 |
12 | 991830 |
13 | 6707c4 |
14 | 473300 |
15 | 32eaa3 |
hex | 251064 |
2429028 has 126 divisors (see below), whose sum is σ = 7849926. Its totient is φ = 653184.
The previous prime is 2429023. The next prime is 2429029. The reversal of 2429028 is 8209242.
It can be written as a sum of positive squares in only one way, i.e., 2286144 + 142884 = 1512^2 + 378^2 .
It is a tau number, because it is divible by the number of its divisors (126).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2428992 and 2429010.
It is not an unprimeable number, because it can be changed into a prime (2429023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 142876 + ... + 142892.
It is an arithmetic number, because the mean of its divisors is an integer number (62301).
22429028 is an apocalyptic number.
2429028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2429028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924963).
2429028 is an abundant number, since it is smaller than the sum of its proper divisors (5420898).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2429028 is a wasteful number, since it uses less digits than its factorization.
2429028 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53 (or 29 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 2429028 is about 1558.5339264835. The cubic root of 2429028 is about 134.4242143871.
The spelling of 2429028 in words is "two million, four hundred twenty-nine thousand, twenty-eight".
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