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538847232 = 21137111767
BaseRepresentation
bin100000000111100…
…010100000000000
31101112221021102220
4200013202200000
52100421102412
6125245211040
716232061120
oct4007424000
91345837386
10538847232
1125718a9a0
12130560a80
1387837021
14517c8c80
153248d68c
hex201e2800

538847232 has 384 divisors, whose sum is σ = 1924715520. Its totient is φ = 129761280.

The previous prime is 538847227. The next prime is 538847273. The reversal of 538847232 is 232748835.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8042463 + ... + 8042529.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2538847232 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 538847232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962357760).

538847232 is an abundant number, since it is smaller than the sum of its proper divisors (1385868288).

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

538847232 is a wasteful number, since it uses less digits than its factorization.

538847232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 538847232 is about 23213.0832075362. The cubic root of 538847232 is about 813.7454103436.

It can be divided in two parts, 53884 and 7232, that added together give a palindrome (61116).

The spelling of 538847232 in words is "five hundred thirty-eight million, eight hundred forty-seven thousand, two hundred thirty-two".