Search a number
-
+
42996096025 = 5211323672
BaseRepresentation
bin101000000010110001…
…000101110000011001
311002222110201222120221
4220002301011300121
51201024000033100
631430243320041
73051324533431
oct500261056031
9132873658527
1042996096025
11172641a2363
1283bb380021
1340929cab4c
14211c4792c1
1511b9a5901a
hexa02c45c19

42996096025 has 27 divisors (see below), whose sum is σ = 53938119261. Its totient is φ = 33999584640.

The previous prime is 42996096019. The next prime is 42996096049. The reversal of 42996096025 is 52069069924.

The square root of 42996096025 is 207355.

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 21874705801 + 21121390224 = 147901^2 + 145332^2 .

It is not a de Polignac number, because 42996096025 - 25 = 42996095993 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 117155392 + ... + 117155758.

Almost surely, 242996096025 is an apocalyptic number.

42996096025 is the 207355-th square number.

42996096025 is the 103678-th centered octagonal number.

It is an amenable number.

42996096025 is a deficient number, since it is larger than the sum of its proper divisors (10942023236).

42996096025 is an frugal number, since it uses more digits than its factorization.

42996096025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 42996096025 in words is "forty-two billion, nine hundred ninety-six million, ninety-six thousand, twenty-five".

Divisors: 1 5 25 113 367 565 1835 2825 9175 12769 41471 63845 134689 207355 319225 673445 1036775 3367225 4686223 15219857 23431115 76099285 117155575 380496425 1719843841 8599219205 42996096025