Base | Representation |
---|---|
bin | 111101111110… |
… | …1110110100000 |
3 | 2021011000120200 |
4 | 1323331312200 |
5 | 31304401211 |
6 | 3120305200 |
7 | 543135414 |
oct | 173756640 |
9 | 67130520 |
10 | 32497056 |
11 | 17386579 |
12 | aa72200 |
13 | 696a737 |
14 | 445cd44 |
15 | 2cbdb56 |
hex | 1efdda0 |
32497056 has 72 divisors (see below), whose sum is σ = 94201380. Its totient is φ = 10622976.
The previous prime is 32497043. The next prime is 32497057. The reversal of 32497056 is 65079423.
It can be written as a sum of positive squares in 2 ways, for example, as 32490000 + 7056 = 5700^2 + 84^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 12.
It is a self number, because there is not a number n which added to its sum of digits gives 32497056.
It is not an unprimeable number, because it can be changed into a prime (32497057) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14200 + ... + 16328.
Almost surely, 232497056 is an apocalyptic number.
32497056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 32497056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47100690).
32497056 is an abundant number, since it is smaller than the sum of its proper divisors (61704324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32497056 is a wasteful number, since it uses less digits than its factorization.
32497056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2198 (or 2187 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 32497056 is about 5700.6189137672. The cubic root of 32497056 is about 319.1155787071.
It can be divided in two parts, 3249 and 7056, that multiplied together give a square (22924944 = 47882).
The spelling of 32497056 in words is "thirty-two million, four hundred ninety-seven thousand, fifty-six".
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