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3829010641 = 618792
BaseRepresentation
bin1110010000111010…
…0001000011010001
3100212211221220010221
43210032201003101
530320211320031
61431540553041
7163613024221
oct34416410321
910784856127
103829010641
111695416405
128aa3b2781
13490383c91
14284764081
1517624ba11
hexe43a10d1

3829010641 has 3 divisors (see below), whose sum is σ = 3829072521. Its totient is φ = 3828948762.

The previous prime is 3829010639. The next prime is 3829010681. The reversal of 3829010641 is 1460109283.

The square root of 3829010641 is 61879.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 3829010641 - 21 = 3829010639 is a prime.

It is a super-2 number, since 2×38290106412 = 29322644977782461762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3829010597 and 3829010606.

It is not an unprimeable number, because it can be changed into a prime (3829010681) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 30940 + ... + 92818.

It is an arithmetic number, because the mean of its divisors is an integer number (1276357507).

Almost surely, 23829010641 is an apocalyptic number.

3829010641 is the 61879-th square number.

3829010641 is the 30940-th centered octagonal number.

It is an amenable number.

3829010641 is a deficient number, since it is larger than the sum of its proper divisors (61880).

3829010641 is an frugal number, since it uses more digits than its factorization.

3829010641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123758 (or 61879 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The cubic root of 3829010641 is about 1564.4518137069.

The spelling of 3829010641 in words is "three billion, eight hundred twenty-nine million, ten thousand, six hundred forty-one".

Divisors: 1 61879 3829010641