Base | Representation |
---|---|
bin | 1010111001101… |
… | …0000110100101 |
3 | 10012000211000100 |
4 | 2232122012211 |
5 | 43201014343 |
6 | 4311534313 |
7 | 1063420245 |
oct | 256320645 |
9 | 105024010 |
10 | 45719973 |
11 | 23898102 |
12 | 1338a399 |
13 | 961a250 |
14 | 6101b25 |
15 | 40319d3 |
hex | 2b9a1a5 |
45719973 has 48 divisors (see below), whose sum is σ = 74181744. Its totient is φ = 26956800.
The previous prime is 45719939. The next prime is 45719977. The reversal of 45719973 is 37991754.
45719973 is a `hidden beast` number, since 4 + 571 + 9 + 9 + 73 = 666.
45719973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 2712609 + 43007364 = 1647^2 + 6558^2 .
It is not a de Polignac number, because 45719973 - 28 = 45719717 is a prime.
It is a super-2 number, since 2×457199732 = 4180631862241458, which contains 22 as substring.
Its product of digits (238140) is a multiple of the sum of its prime divisors (243).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45719977) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452623 + ... + 452723.
It is an arithmetic number, because the mean of its divisors is an integer number (1545453).
Almost surely, 245719973 is an apocalyptic number.
It is an amenable number.
45719973 is a deficient number, since it is larger than the sum of its proper divisors (28461771).
45719973 is a wasteful number, since it uses less digits than its factorization.
45719973 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 246 (or 243 counting only the distinct ones).
The product of its digits is 238140, while the sum is 45.
The square root of 45719973 is about 6761.6546051983. The cubic root of 45719973 is about 357.5762414211.
The spelling of 45719973 in words is "forty-five million, seven hundred nineteen thousand, nine hundred seventy-three".
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