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542035512 = 233273281367
BaseRepresentation
bin100000010011101…
…100111000111000
31101202221020221100
4200103230320320
52102230114022
6125441411400
716301140314
oct4023547070
91352836840
10542035512
11258a68337
12131639b60
13883b2295
1451db8b44
15328bd1ac
hex204ece38

542035512 has 96 divisors (see below), whose sum is σ = 1497487680. Its totient is φ = 177085440.

The previous prime is 542035493. The next prime is 542035517. The reversal of 542035512 is 215530245.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542035517) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1476753 + ... + 1477119.

It is an arithmetic number, because the mean of its divisors is an integer number (15598830).

Almost surely, 2542035512 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 542035512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748743840).

542035512 is an abundant number, since it is smaller than the sum of its proper divisors (955452168).

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

542035512 is a wasteful number, since it uses less digits than its factorization.

542035512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 542035512 is about 23281.6561266590. The cubic root of 542035512 is about 815.3471927088.

Adding to 542035512 its reverse (215530245), we get a palindrome (757565757).

The spelling of 542035512 in words is "five hundred forty-two million, thirty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 281 292 367 438 562 584 657 734 843 876 1101 1124 1314 1468 1686 1752 2202 2248 2529 2628 2936 3303 3372 4404 5058 5256 6606 6744 8808 10116 13212 20232 20513 26424 26791 41026 53582 61539 80373 82052 103127 107164 123078 160746 164104 184617 206254 214328 241119 246156 309381 321492 369234 412508 482238 492312 618762 642984 738468 825016 928143 964476 1237524 1476936 1856286 1928952 2475048 3712572 7425144 7528271 15056542 22584813 30113084 45169626 60226168 67754439 90339252 135508878 180678504 271017756 542035512