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543640032 = 253313291669
BaseRepresentation
bin100000011001110…
…100100111100000
31101212221202221000
4200121310213200
52103132440112
6125540032000
716320602235
oct4031644740
91355852830
10543640032
11259963891
12132092600
13888246c0
14522b578c
1532ad87dc
hex206749e0

543640032 has 192 divisors, whose sum is σ = 1767528000. Its totient is φ = 161409024.

The previous prime is 543639973. The next prime is 543640037. The reversal of 543640032 is 230046345.

It is a super-2 number, since 2×5436400322 = 591088968785922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 543639978 and 543640005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (543640037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324894 + ... + 326562.

It is an arithmetic number, because the mean of its divisors is an integer number (9205875).

Almost surely, 2543640032 is an apocalyptic number.

543640032 is a gapful number since it is divisible by the number (52) 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 543640032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883764000).

543640032 is an abundant number, since it is smaller than the sum of its proper divisors (1223887968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

543640032 is a wasteful number, since it uses less digits than its factorization.

543640032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 543640032 is about 23316.0895520668. The cubic root of 543640032 is about 816.1509236412.

Adding to 543640032 its reverse (230046345), we get a palindrome (773686377).

The spelling of 543640032 in words is "five hundred forty-three million, six hundred forty thousand, thirty-two".