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1078531281 = 34412892
BaseRepresentation
bin100000001001001…
…0001010011010001
32210011110001210000
41000102101103101
54202101000111
6255004400213
735504236032
oct10022212321
92704401700
101078531281
11503891573
12261246069
131425a4bb9
14a3350a89
1564a44c56
hex404914d1

1078531281 has 45 divisors (see below), whose sum is σ = 1670157313. Its totient is φ = 693601920.

The previous prime is 1078531243. The next prime is 1078531283. The reversal of 1078531281 is 1821358701.

The square root of 1078531281 is 32841.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 657460881 + 421070400 = 25641^2 + 20520^2 .

It is not a de Polignac number, because 1078531281 - 211 = 1078529233 is a prime.

It is a super-2 number, since 2×10785312812 = 2326459448191001922, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1078531283) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12118285 + ... + 12118373.

Almost surely, 21078531281 is an apocalyptic number.

1078531281 is the 32841-st square number.

1078531281 is the 16421-st centered octagonal number.

It is an amenable number.

1078531281 is a deficient number, since it is larger than the sum of its proper divisors (591626032).

1078531281 is an frugal number, since it uses more digits than its factorization.

1078531281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The cubic root of 1078531281 is about 1025.5202692106.

Multiplying 1078531281 by its sum of digits (36), we get a square (38827126116 = 1970462).

Adding to 1078531281 its reverse (1821358701), we get a palindrome (2899889982).

The spelling of 1078531281 in words is "one billion, seventy-eight million, five hundred thirty-one thousand, two hundred eighty-one".

Divisors: 1 3 9 27 41 81 89 123 267 369 801 1107 1681 2403 3321 3649 5043 7209 7921 10947 15129 23763 32841 45387 71289 98523 136161 149609 213867 295569 324761 448827 641601 974283 1346481 2922849 4039443 8768547 12118329 13315201 26305641 39945603 119836809 359510427 1078531281