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4252213681 = 61210692
BaseRepresentation
bin1111110101110011…
…1010000110110001
3101222100021211120121
43331130322012301
532202031314211
61541535410241
7210242135302
oct37534720661
911870254517
104252213681
11189229a091
129a8083981
13529c5a891
142c4a487a9
1519d495271
hexfd73a1b1

4252213681 has 9 divisors (see below), whose sum is σ = 4327112673. Its totient is φ = 4178592720.

The previous prime is 4252213639. The next prime is 4252213717. The reversal of 4252213681 is 1863122524.

The square root of 4252213681 is 65209.

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 1502260081 + 2749953600 = 38759^2 + 52440^2 .

It is a de Polignac number, because none of the positive numbers 2k-4252213681 is a prime.

It is a super-2 number, since 2×42522136812 = 36162642377767139522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4252213601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3977215 + ... + 3978283.

It is an arithmetic number, because the mean of its divisors is an integer number (480790297).

Almost surely, 24252213681 is an apocalyptic number.

4252213681 is the 65209-th square number.

4252213681 is the 32605-th centered octagonal number.

It is an amenable number.

4252213681 is a deficient number, since it is larger than the sum of its proper divisors (74898992).

4252213681 is an frugal number, since it uses more digits than its factorization.

4252213681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 1130 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The cubic root of 4252213681 is about 1620.0870858280.

The spelling of 4252213681 in words is "four billion, two hundred fifty-two million, two hundred thirteen thousand, six hundred eighty-one".

Divisors: 1 61 1069 3721 65209 1142761 3977749 69708421 4252213681