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542731644 = 2233751323
BaseRepresentation
bin100000010110010…
…110110101111100
31101211020121212000
4200112112311330
52102414403034
6125504342300
716310100000
oct4026266574
91354217760
10542731644
112593a3354
12131914990
13885970b0
145211a700
15329a9599
hex20596d7c

542731644 has 288 divisors, whose sum is σ = 1844720640. Its totient is φ = 136914624.

The previous prime is 542731627. The next prime is 542731669. The reversal of 542731644 is 446137245.

542731644 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 3 + 1 + 644 = 666.

542731644 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 (36).

Its product of digits (80640) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 542731599 and 542731608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23597017 + ... + 23597039.

It is an arithmetic number, because the mean of its divisors is an integer number (6405280).

Almost surely, 2542731644 is an apocalyptic number.

542731644 is a gapful number since it is divisible by the number (54) 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 542731644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922360320).

542731644 is an abundant number, since it is smaller than the sum of its proper divisors (1301988996).

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

542731644 is a wasteful number, since it uses less digits than its factorization.

542731644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 542731644 is about 23296.6015547333. The cubic root of 542731644 is about 815.6960914120.

Adding to 542731644 its reverse (446137245), we get a palindrome (988868889).

The spelling of 542731644 in words is "five hundred forty-two million, seven hundred thirty-one thousand, six hundred forty-four".