Base | Representation |
---|---|
bin | 10110000101111110010000 |
3 | 101220020121220 |
4 | 112011332100 |
5 | 2440313012 |
6 | 324045040 |
7 | 100141140 |
oct | 26057620 |
9 | 11806556 |
10 | 5791632 |
11 | 32a6380 |
12 | 1b33780 |
13 | 127a202 |
14 | aaa920 |
15 | 79608c |
hex | 585f90 |
5791632 has 80 divisors (see below), whose sum is σ = 18665472. Its totient is φ = 1503360.
The previous prime is 5791609. The next prime is 5791633. The reversal of 5791632 is 2361975.
5791632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a nialpdrome in base 14.
It is a junction number, because it is equal to n+sod(n) for n = 5791593 and 5791602.
It is not an unprimeable number, because it can be changed into a prime (5791633) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2913 + ... + 4479.
Almost surely, 25791632 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 5791632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332736).
5791632 is an abundant number, since it is smaller than the sum of its proper divisors (12873840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5791632 is a wasteful number, since it uses less digits than its factorization.
5791632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1596 (or 1590 counting only the distinct ones).
The product of its digits is 11340, while the sum is 33.
The square root of 5791632 is about 2406.5809772372. The cubic root of 5791632 is about 179.5837294268.
It can be divided in two parts, 579 and 1632, that added together give a triangular number (2211 = T66).
The spelling of 5791632 in words is "five million, seven hundred ninety-one thousand, six hundred thirty-two".
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