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542135610 = 232517354337
BaseRepresentation
bin100000010100000…
…101010100111010
31101210010100020200
4200110011110322
52102241314420
6125443503030
716302035202
oct4024052472
91353110220
10542135610
11259026565
12131687a76
1388418a03
1452003402
15328dcb90
hex2050553a

542135610 has 48 divisors (see below), whose sum is σ = 1492471656. Its totient is φ = 136065024.

The previous prime is 542135597. The next prime is 542135611. The reversal of 542135610 is 16531245.

542135610 is a `hidden beast` number, since 5 + 42 + 1 + 3 + 5 + 610 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 378730521 + 163405089 = 19461^2 + 12783^2 .

It is a super-3 number, since 3×5421356103 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (542135611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 175639 + ... + 178698.

Almost surely, 2542135610 is an apocalyptic number.

542135610 is an abundant number, since it is smaller than the sum of its proper divisors (950336046).

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

542135610 is a wasteful number, since it uses less digits than its factorization.

542135610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354367 (or 354364 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 542135610 is about 23283.8057456250. The cubic root of 542135610 is about 815.3973798264.

Adding to 542135610 its reverse (16531245), we get a palindrome (558666855).

The spelling of 542135610 in words is "five hundred forty-two million, one hundred thirty-five thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 354337 708674 1063011 1771685 2126022 3189033 3543370 5315055 6023729 6378066 10630110 12047458 15945165 18071187 30118645 31890330 36142374 54213561 60237290 90355935 108427122 180711870 271067805 542135610