Search a number
-
+
1427557241 = 11891458179
BaseRepresentation
bin101010100010110…
…1100101101111001
310200111012102101102
41111011230231321
510410423312431
6353353301145
750243015315
oct12505545571
93614172342
101427557241
11672900980
1233a1047b5
131999a9936
14d7846b45
15854d9dcb
hex5516cb79

1427557241 has 8 divisors (see below), whose sum is σ = 1574834400. Its totient is φ = 1283196640.

The previous prime is 1427557213. The next prime is 1427557253.

It is a happy number.

1427557241 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1427557241 - 218 = 1427295097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1427557195 and 1427557204.

It is not an unprimeable number, because it can be changed into a prime (1427557211) 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 7 ways as a sum of consecutive naturals, for example, 728111 + ... + 730068.

It is an arithmetic number, because the mean of its divisors is an integer number (196854300).

Almost surely, 21427557241 is an apocalyptic number.

1427557241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1427557241 is a deficient number, since it is larger than the sum of its proper divisors (147277159).

1427557241 is a wasteful number, since it uses less digits than its factorization.

1427557241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458279.

The product of its digits is 78400, while the sum is 38.

The square root of 1427557241 is about 37783.0284784055. The cubic root of 1427557241 is about 1125.9812978079.

The spelling of 1427557241 in words is "one billion, four hundred twenty-seven million, five hundred fifty-seven thousand, two hundred forty-one".

Divisors: 1 11 89 979 1458179 16039969 129777931 1427557241