Base | Representation |
---|---|
bin | 1010111101010… |
… | …1001001010100 |
3 | 10012111002202100 |
4 | 2233111021110 |
5 | 43231234222 |
6 | 4321042100 |
7 | 1065445311 |
oct | 257251124 |
9 | 105432670 |
10 | 45961812 |
11 | 23a42876 |
12 | 13486330 |
13 | 96a3350 |
14 | 6165d08 |
15 | 407d4ac |
hex | 2bd5254 |
45961812 has 144 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 12939264.
The previous prime is 45961787. The next prime is 45961819. The reversal of 45961812 is 21816954.
45961812 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 1285956 + 44675856 = 1134^2 + 6684^2 .
It is a super-2 number, since 2×459618122 = 4224976324646688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45961819) 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, 421614 + ... + 421722.
It is an arithmetic number, because the mean of its divisors is an integer number (945945).
Almost surely, 245961812 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 45961812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).
45961812 is an abundant number, since it is smaller than the sum of its proper divisors (90254268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45961812 is a wasteful number, since it uses less digits than its factorization.
45961812 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 202 (or 197 counting only the distinct ones).
The product of its digits is 17280, while the sum is 36.
The square root of 45961812 is about 6779.5141418836. The cubic root of 45961812 is about 358.2056078888.
The spelling of 45961812 in words is "forty-five million, nine hundred sixty-one thousand, eight hundred twelve".
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