Base | Representation |
---|---|
bin | 1001100011110… |
… | …1100011110000 |
3 | 2210110012011022 |
4 | 2120331203300 |
5 | 40231114112 |
6 | 3551235012 |
7 | 664553612 |
oct | 230754360 |
9 | 83405138 |
10 | 40098032 |
11 | 206a8277 |
12 | 11518a68 |
13 | 83cc360 |
14 | 547adb2 |
15 | 37c0d72 |
hex | 263d8f0 |
40098032 has 40 divisors (see below), whose sum is σ = 84098784. Its totient is φ = 18411264.
The previous prime is 40098029. The next prime is 40098043. The reversal of 40098032 is 23089004.
40098032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a junction number, because it is equal to n+sod(n) for n = 40097992 and 40098010.
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 7 ways as a sum of consecutive naturals, for example, 54338 + ... + 55070.
Almost surely, 240098032 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 40098032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42049392).
40098032 is an abundant number, since it is smaller than the sum of its proper divisors (44000752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40098032 is a wasteful number, since it uses less digits than its factorization.
40098032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1017 (or 1011 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 26.
The square root of 40098032 is about 6332.3006877438. The cubic root of 40098032 is about 342.2743486748.
Subtracting from 40098032 its reverse (23089004), we obtain a triangular number (17009028 = T5832).
The spelling of 40098032 in words is "forty million, ninety-eight thousand, thirty-two".
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