| Base | Representation |
|---|---|
| bin | 1110101110100… |
| … | …1000111100000 |
| 3 | 11022020100121100 |
| 4 | 3223221013200 |
| 5 | 111303203011 |
| 6 | 10043554400 |
| 7 | 1350025020 |
| oct | 353510740 |
| 9 | 138210540 |
| 10 | 61772256 |
| 11 | 31961457 |
| 12 | 1882ba00 |
| 13 | ca4a840 |
| 14 | 82bda80 |
| 15 | 5652d56 |
| hex | 3ae91e0 |
61772256 has 144 divisors (see below), whose sum is σ = 216294624. Its totient is φ = 16284672.
The previous prime is 61772239. The next prime is 61772267. The reversal of 61772256 is 65227716.
61772256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×617722562 = 7631623222659072, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 61772256.
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 23 ways as a sum of consecutive naturals, for example, 25030 + ... + 27386.
It is an arithmetic number, because the mean of its divisors is an integer number (1502046).
Almost surely, 261772256 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 61772256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108147312).
61772256 is an abundant number, since it is smaller than the sum of its proper divisors (154522368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61772256 is a wasteful number, since it uses less digits than its factorization.
61772256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2393 (or 2382 counting only the distinct ones).
The product of its digits is 35280, while the sum is 36.
The square root of 61772256 is about 7859.5328105429. The cubic root of 61772256 is about 395.3039502106.
The spelling of 61772256 in words is "sixty-one million, seven hundred seventy-two thousand, two hundred fifty-six".
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