Base | Representation |
---|---|
bin | 1000111010011… |
… | …10111100100000 |
3 | 12012200211020211 |
4 | 10131032330200 |
5 | 123120203011 |
6 | 11230343504 |
7 | 1565360626 |
oct | 435167440 |
9 | 165624224 |
10 | 74772256 |
11 | 39230559 |
12 | 2105ab94 |
13 | 1264ca50 |
14 | 9d05516 |
15 | 686eb21 |
hex | 474ef20 |
74772256 has 96 divisors (see below), whose sum is σ = 171143280. Its totient is φ = 31850496.
The previous prime is 74772251. The next prime is 74772289. The reversal of 74772256 is 65227747.
It can be written as a sum of positive squares in 8 ways, for example, as 39488656 + 35283600 = 6284^2 + 5940^2 .
It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (74772251) 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 15 ways as a sum of consecutive naturals, for example, 685930 + ... + 686038.
Almost surely, 274772256 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 74772256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85571640).
74772256 is an abundant number, since it is smaller than the sum of its proper divisors (96371024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74772256 is a wasteful number, since it uses less digits than its factorization.
74772256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 246 (or 238 counting only the distinct ones).
The product of its digits is 164640, while the sum is 40.
The square root of 74772256 is about 8647.0952348173. The cubic root of 74772256 is about 421.2890404577.
The spelling of 74772256 in words is "seventy-four million, seven hundred seventy-two thousand, two hundred fifty-six".
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