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542502012 = 2231323473217
BaseRepresentation
bin100000010101011…
…110110001111100
31101210210221212010
4200111132301330
52102340031022
6125455411220
716305122343
oct4025366174
91353727763
10542502012
11259256878
12131823b10
1388516710
145209ab5a
153296150c
hex2055ec7c

542502012 has 96 divisors (see below), whose sum is σ = 1453197312. Its totient is φ = 156220416.

The previous prime is 542501987. The next prime is 542502031. The reversal of 542502012 is 210205245.

It is a happy number.

542502012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 542502012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167028 + ... + 170244.

It is an arithmetic number, because the mean of its divisors is an integer number (15137472).

Almost surely, 2542502012 is an apocalyptic number.

542502012 is a gapful number since it is divisible by the number (52) 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 542502012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726598656).

542502012 is an abundant number, since it is smaller than the sum of its proper divisors (910695300).

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

542502012 is a wasteful number, since it uses less digits than its factorization.

542502012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 542502012 is about 23291.6725891465. The cubic root of 542502012 is about 815.5810337217.

Adding to 542502012 its reverse (210205245), we get a palindrome (752707257).

The spelling of 542502012 in words is "five hundred forty-two million, five hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 47 52 69 78 92 94 138 141 156 188 276 282 299 564 598 611 897 1081 1196 1222 1794 1833 2162 2444 3217 3243 3588 3666 4324 6434 6486 7332 9651 12868 12972 14053 19302 28106 38604 41821 42159 56212 73991 83642 84318 125463 147982 151199 167284 168636 221973 250926 295964 302398 443946 453597 501852 604796 887892 907194 961883 1814388 1923766 1965587 2885649 3477577 3847532 3931174 5771298 5896761 6955154 7862348 10432731 11542596 11793522 13910308 20865462 23587044 41730924 45208501 90417002 135625503 180834004 271251006 542502012