Base | Representation |
---|---|
bin | 1001010010111… |
… | …00011000010100 |
3 | 12102201102212100 |
4 | 10221130120110 |
5 | 124430114022 |
6 | 11423122100 |
7 | 1634521365 |
oct | 451343024 |
9 | 172642770 |
10 | 77973012 |
11 | 40017307 |
12 | 22143330 |
13 | 132008a0 |
14 | a4d9b6c |
15 | 6ca31ac |
hex | 4a5c614 |
77973012 has 36 divisors (see below), whose sum is σ = 212261140. Its totient is φ = 23991552.
The previous prime is 77973011. The next prime is 77973037. The reversal of 77973012 is 21037977.
It can be written as a sum of positive squares in 2 ways, for example, as 3944196 + 74028816 = 1986^2 + 8604^2 .
It is a tau number, because it is divible by the number of its divisors (36).
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 (77973011) 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 11 ways as a sum of consecutive naturals, for example, 82837 + ... + 83772.
Almost surely, 277973012 is an apocalyptic number.
It is an amenable number.
77973012 is an abundant number, since it is smaller than the sum of its proper divisors (134288128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77973012 is a wasteful number, since it uses less digits than its factorization.
77973012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 166632 (or 166627 counting only the distinct ones).
The product of its (nonzero) digits is 18522, while the sum is 36.
The square root of 77973012 is about 8830.2328395122. The cubic root of 77973012 is about 427.2165844885.
The spelling of 77973012 in words is "seventy-seven million, nine hundred seventy-three thousand, twelve".
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