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3827024041 is a prime number
BaseRepresentation
bin1110010000011011…
…1100000010101001
3100212201012222001011
43210012330002221
530314204232131
61431430223521
7163560111331
oct34406740251
910781188034
103827024041
111694289895
128a97b4ba1
1348cb39989
142843a80c1
15175ea80b1
hexe41bc0a9

3827024041 has 2 divisors, whose sum is σ = 3827024042. Its totient is φ = 3827024040.

The previous prime is 3827024029. The next prime is 3827024057. The reversal of 3827024041 is 1404207283.

3827024041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2588265625 + 1238758416 = 50875^2 + 35196^2 .

It is a cyclic number.

It is not a de Polignac number, because 3827024041 - 211 = 3827021993 is a prime.

It is a super-2 number, since 2×38270240412 = 29292226020783939362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3827023994 and 3827024012.

It is not a weakly prime, because it can be changed into another prime (3827024081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1913512020 + 1913512021.

It is an arithmetic number, because the mean of its divisors is an integer number (1913512021).

Almost surely, 23827024041 is an apocalyptic number.

It is an amenable number.

3827024041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3827024041 is an equidigital number, since it uses as much as digits as its factorization.

3827024041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 3827024041 is about 61862.9456217533. The cubic root of 3827024041 is about 1564.1812061518.

The spelling of 3827024041 in words is "three billion, eight hundred twenty-seven million, twenty-four thousand, forty-one".