Base | Representation |
---|---|
bin | 1010110101101… |
… | …11111100000000 |
3 | 20100002202210202 |
4 | 11122313330000 |
5 | 141234242234 |
6 | 13004544332 |
7 | 2152620536 |
oct | 532677400 |
9 | 210082722 |
10 | 90930944 |
11 | 47367845 |
12 | 265520a8 |
13 | 15ab98c0 |
14 | c110156 |
15 | 7eb277e |
hex | 56b7f00 |
90930944 has 72 divisors (see below), whose sum is σ = 198308880. Its totient is φ = 41361408.
The previous prime is 90930929. The next prime is 90930949. The reversal of 90930944 is 44903909.
It is a super-2 number, since 2×909309442 = 16536873153462272, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 90930898 and 90930907.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (90930949) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296039 + ... + 296345.
It is an arithmetic number, because the mean of its divisors is an integer number (2754290).
Almost surely, 290930944 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 90930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99154440).
90930944 is an abundant number, since it is smaller than the sum of its proper divisors (107377936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90930944 is a wasteful number, since it uses less digits than its factorization.
90930944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 425 (or 411 counting only the distinct ones).
The product of its (nonzero) digits is 34992, while the sum is 38.
The square root of 90930944 is about 9535.7718093503. The cubic root of 90930944 is about 449.6803392356.
The spelling of 90930944 in words is "ninety million, nine hundred thirty thousand, nine hundred forty-four".
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