Base | Representation |
---|---|
bin | 111101110000101000101 |
3 | 10210211001200 |
4 | 13232011011 |
5 | 1004224444 |
6 | 111213113 |
7 | 23126100 |
oct | 7560505 |
9 | 3724050 |
10 | 2023749 |
11 | 1162522 |
12 | 817199 |
13 | 55b1b0 |
14 | 3a9737 |
15 | 29e969 |
hex | 1ee145 |
2023749 has 36 divisors (see below), whose sum is σ = 3672396. Its totient is φ = 1064448.
The previous prime is 2023741. The next prime is 2023753. The reversal of 2023749 is 9473202.
It can be written as a sum of positive squares in 2 ways, for example, as 540225 + 1483524 = 735^2 + 1218^2 .
It is not a de Polignac number, because 2023749 - 23 = 2023741 is a prime.
It is an Ulam number.
2023749 is a lucky number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2023741) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5557 + ... + 5909.
It is an arithmetic number, because the mean of its divisors is an integer number (102011).
22023749 is an apocalyptic number.
It is an amenable number.
2023749 is a deficient number, since it is larger than the sum of its proper divisors (1648647).
2023749 is a wasteful number, since it uses less digits than its factorization.
2023749 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386 (or 376 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 2023749 is about 1422.5853225730. The cubic root of 2023749 is about 126.4888417306.
It can be divided in two parts, 2023 and 749, that added together give a palindrome (2772).
The spelling of 2023749 in words is "two million, twenty-three thousand, seven hundred forty-nine".
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