Search a number
-
+
1427087442 = 2311791911433
BaseRepresentation
bin101010100001111…
…1010000001010010
310200110022112221110
41111003322001102
510410313244232
6353335234150
750236020534
oct12503720122
93613275843
101427087442
1167260aa10
12339b18956
13199873b51
14d7763854
1585445acc
hex550fa052

1427087442 has 64 divisors (see below), whose sum is σ = 3171778560. Its totient is φ = 424444800.

The previous prime is 1427087437. The next prime is 1427087507. The reversal of 1427087442 is 2447807241.

It is a happy number.

It is a super-2 number, since 2×14270874422 = 4073157134228206728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1427087442.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 995158 + ... + 996590.

It is an arithmetic number, because the mean of its divisors is an integer number (49559040).

Almost surely, 21427087442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427087442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585889280).

1427087442 is an abundant number, since it is smaller than the sum of its proper divisors (1744691118).

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

1427087442 is a wasteful number, since it uses less digits than its factorization.

1427087442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719.

The product of its (nonzero) digits is 100352, while the sum is 39.

The square root of 1427087442 is about 37776.8109029865. The cubic root of 1427087442 is about 1125.8577667598.

The spelling of 1427087442 in words is "one billion, four hundred twenty-seven million, eighty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 79 158 191 237 382 474 573 869 1146 1433 1738 2101 2607 2866 4202 4299 5214 6303 8598 12606 15089 15763 30178 31526 45267 47289 90534 94578 113207 165979 226414 273703 331958 339621 497937 547406 679242 821109 995874 1245277 1642218 2490554 3010733 3735831 6021466 7471662 9032199 18064398 21622537 43245074 64867611 129735222 237847907 475695814 713543721 1427087442