Base | Representation |
---|---|
bin | 1001111110111… |
… | …10000100000000 |
3 | 12211120210101102 |
4 | 10333132010000 |
5 | 132414401242 |
6 | 12150553532 |
7 | 2034560363 |
oct | 477360400 |
9 | 184523342 |
10 | 83747072 |
11 | 43300462 |
12 | 240688a8 |
13 | 14472aa6 |
14 | b1a00da |
15 | 7543e32 |
hex | 4fde100 |
83747072 has 36 divisors (see below), whose sum is σ = 167912556. Its totient is φ = 41687040.
The previous prime is 83747063. The next prime is 83747107. The reversal of 83747072 is 27074738.
It can be written as a sum of positive squares in 2 ways, for example, as 47554816 + 36192256 = 6896^2 + 6016^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70322 + ... + 71502.
Almost surely, 283747072 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 83747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83956278).
83747072 is an abundant number, since it is smaller than the sum of its proper divisors (84165484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83747072 is a wasteful number, since it uses less digits than its factorization.
83747072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1474 (or 1460 counting only the distinct ones).
The product of its (nonzero) digits is 65856, while the sum is 38.
The square root of 83747072 is about 9151.3426337341. The cubic root of 83747072 is about 437.5119073766.
The spelling of 83747072 in words is "eighty-three million, seven hundred forty-seven thousand, seventy-two".
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