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542819248 = 241710119759
BaseRepresentation
bin100000010110101…
…100001110110000
31101211102002000121
4200112230032300
52102430203443
6125510300024
716310613256
oct4026541660
91354362017
10542819248
11259453154
12131957614
13885c7c2a
14521405d6
15329c54ed
hex205ac3b0

542819248 has 40 divisors (see below), whose sum is σ = 1124660160. Its totient is φ = 252902400.

The previous prime is 542819243. The next prime is 542819257. The reversal of 542819248 is 842918245.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (542819243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17593 + ... + 37351.

It is an arithmetic number, because the mean of its divisors is an integer number (28116504).

Almost surely, 2542819248 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 542819248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562330080).

542819248 is an abundant number, since it is smaller than the sum of its proper divisors (581840912).

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

542819248 is a wasteful number, since it uses less digits than its factorization.

542819248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19885 (or 19879 counting only the distinct ones).

The product of its digits is 184320, while the sum is 43.

The square root of 542819248 is about 23298.4816672675. The cubic root of 542819248 is about 815.7399770639.

The spelling of 542819248 in words is "five hundred forty-two million, eight hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 6868 13736 19759 27472 39518 79036 158072 316144 335903 671806 1343612 1995659 2687224 3991318 5374448 7982636 15965272 31930544 33926203 67852406 135704812 271409624 542819248