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542819232 = 253623269
BaseRepresentation
bin100000010110101…
…100001110100000
31101211102002000000
4200112230032200
52102430203412
6125510300000
716310613234
oct4026541640
91354362000
10542819232
1125945313a
12131957600
13885c7c17
14521405c4
15329c54dc
hex205ac3a0

542819232 has 84 divisors (see below), whose sum is σ = 1602348930. Its totient is φ = 180931968.

The previous prime is 542819203. The next prime is 542819243. The reversal of 542819232 is 232918245.

It is a happy number.

542819232 is a `hidden beast` number, since 542 + 81 + 9 + 2 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 480661776 + 62157456 = 21924^2 + 7884^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 11694 + ... + 34962.

Almost surely, 2542819232 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 542819232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801174465).

542819232 is an abundant number, since it is smaller than the sum of its proper divisors (1059529698).

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

542819232 is an equidigital number, since it uses as much as digits as its factorization.

542819232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23297 (or 23274 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 542819232 is about 23298.4813238975. The cubic root of 542819232 is about 815.7399690491.

The spelling of 542819232 in words is "five hundred forty-two million, eight hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23269 23328 46538 69807 93076 139614 186152 209421 279228 372304 418842 558456 628263 744608 837684 1116912 1256526 1675368 1884789 2233824 2513052 3350736 3769578 5026104 5654367 6701472 7539156 10052208 11308734 15078312 16963101 20104416 22617468 30156624 33926202 45234936 60313248 67852404 90469872 135704808 180939744 271409616 542819232