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542521144 = 231153293397
BaseRepresentation
bin100000010101100…
…011011100111000
31101210211221002201
4200111203130320
52102341134034
6125500035544
716305232204
oct4025433470
91353757081
10542521144
1125926a190
12131832bb4
1388522339
14520a3b04
1532967014
hex20563738

542521144 has 64 divisors (see below), whose sum is σ = 1137356640. Its totient is φ = 240514560.

The previous prime is 542521103. The next prime is 542521169. The reversal of 542521144 is 441125245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366354 + ... + 1366750.

Almost surely, 2542521144 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 542521144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568678320).

542521144 is an abundant number, since it is smaller than the sum of its proper divisors (594835496).

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

542521144 is a wasteful number, since it uses less digits than its factorization.

542521144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 756 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 542521144 is about 23292.0832902512. The cubic root of 542521144 is about 815.5906210981.

Adding to 542521144 its reverse (441125245), we get a palindrome (983646389).

It can be divided in two parts, 5425 and 21144, that added together give a square (26569 = 1632).

The spelling of 542521144 in words is "five hundred forty-two million, five hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 293 397 424 583 586 794 1166 1172 1588 2332 2344 3176 3223 4367 4664 6446 8734 12892 15529 17468 21041 25784 31058 34936 42082 62116 84164 116321 124232 168328 170819 231451 232642 341638 462902 465284 683276 925804 930568 1279531 1366552 1851608 2559062 5118124 6165013 10236248 12330026 24660052 49320104 67815143 135630286 271260572 542521144