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3828244217 = 72541144413
BaseRepresentation
bin1110010000101110…
…0101111011111001
3100212210111221210212
43210023211323321
530320012303332
61431512320505
7163603352600
oct34413457371
910783457725
103828244217
111694a425a6
128aa0a3135
13490176185
14284604a37
151761498b2
hexe42e5ef9

3828244217 has 12 divisors (see below), whose sum is σ = 4461526116. Its totient is φ = 3275264160.

The previous prime is 3828244213. The next prime is 3828244253. The reversal of 3828244217 is 7124428283.

It can be written as a sum of positive squares in 2 ways, for example, as 682829161 + 3145415056 = 26131^2 + 56084^2 .

It is not a de Polignac number, because 3828244217 - 22 = 3828244213 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3828244213) 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 11 ways as a sum of consecutive naturals, for example, 45698 + ... + 98715.

It is an arithmetic number, because the mean of its divisors is an integer number (371793843).

Almost surely, 23828244217 is an apocalyptic number.

It is an amenable number.

3828244217 is a deficient number, since it is larger than the sum of its proper divisors (633281899).

3828244217 is a wasteful number, since it uses less digits than its factorization.

3828244217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144968 (or 144961 counting only the distinct ones).

The product of its digits is 172032, while the sum is 41.

The square root of 3828244217 is about 61872.8067651695. The cubic root of 3828244217 is about 1564.3474252596.

The spelling of 3828244217 in words is "three billion, eight hundred twenty-eight million, two hundred forty-four thousand, two hundred seventeen".

Divisors: 1 7 49 541 3787 26509 144413 1010891 7076237 78127433 546892031 3828244217