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1042535142 = 232116789883
BaseRepresentation
bin111110001000111…
…101001011100110
32200122201021100200
4332020331023212
54113342111032
6251241051330
734556255025
oct7610751346
92618637320
101042535142
114955360a0
12251186b46
13137cb08cc
149c6608bc
15617d447c
hex3e23d2e6

1042535142 has 96 divisors (see below), whose sum is σ = 2531917440. Its totient is φ = 307359360.

The previous prime is 1042535141. The next prime is 1042535159. The reversal of 1042535142 is 2415352401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042535141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180233 + ... + 1181115.

It is an arithmetic number, because the mean of its divisors is an integer number (26374140).

Almost surely, 21042535142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042535142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265958720).

1042535142 is an abundant number, since it is smaller than the sum of its proper divisors (1489382298).

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

1042535142 is a wasteful number, since it uses less digits than its factorization.

1042535142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1042535142 is about 32288.3127772264. The cubic root of 1042535142 is about 1013.9819739335.

Adding to 1042535142 its reverse (2415352401), we get a palindrome (3457887543).

The spelling of 1042535142 in words is "one billion, forty-two million, five hundred thirty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 89 99 134 178 198 201 267 402 534 603 737 801 883 979 1206 1474 1602 1766 1958 2211 2649 2937 4422 5298 5874 5963 6633 7947 8811 9713 11926 13266 15894 17622 17889 19426 29139 35778 53667 58278 59161 65593 78587 87417 107334 118322 131186 157174 174834 177483 196779 235761 354966 393558 471522 532449 590337 650771 707283 864457 1064898 1180674 1301542 1414566 1728914 1952313 2593371 3904626 5186742 5265329 5856939 7780113 10530658 11713878 15560226 15795987 31591974 47387961 57918619 94775922 115837238 173755857 347511714 521267571 1042535142