Base | Representation |
---|---|
bin | 1010111100111… |
… | …1101100000000 |
3 | 10012102222002100 |
4 | 2233033230000 |
5 | 43230030311 |
6 | 4320350400 |
7 | 1065323163 |
oct | 257175400 |
9 | 105388070 |
10 | 45939456 |
11 | 23a27aa2 |
12 | 13475400 |
13 | 9696114 |
14 | 615bada |
15 | 4076a56 |
hex | 2bcfb00 |
45939456 has 108 divisors (see below), whose sum is σ = 134348032. Its totient is φ = 15095808.
The previous prime is 45939449. The next prime is 45939463. The reversal of 45939456 is 65493954.
45939456 is a `hidden beast` number, since 4 + 593 + 9 + 4 + 56 = 666.
45939456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (45939449) and next prime (45939463).
It is a super-2 number, since 2×459394562 = 4220867235151872, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 292530 + ... + 292686.
Almost surely, 245939456 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 45939456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174016).
45939456 is an abundant number, since it is smaller than the sum of its proper divisors (88408576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45939456 is a wasteful number, since it uses less digits than its factorization.
45939456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 306 (or 289 counting only the distinct ones).
The product of its digits is 583200, while the sum is 45.
The square root of 45939456 is about 6777.8651506208. The cubic root of 45939456 is about 358.1475209470.
The spelling of 45939456 in words is "forty-five million, nine hundred thirty-nine thousand, four hundred fifty-six".
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