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3828979609 = 72136010957
BaseRepresentation
bin1110010000111001…
…1001011110011001
3100212211220022120121
43210032121132121
530320204321414
61431540153241
7163612534600
oct34416313631
910784808517
103828979609
1116953a5064
128aa398821
13490372b10
14284756a37
15176242724
hexe4399799

3828979609 has 12 divisors (see below), whose sum is σ = 4796744484. Its totient is φ = 3029521824.

The previous prime is 3828979607. The next prime is 3828979619. The reversal of 3828979609 is 9069798283.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 831745600 + 2997234009 = 28840^2 + 54747^2 .

It is not a de Polignac number, because 3828979609 - 21 = 3828979607 is a prime.

It is a super-2 number, since 2×38289796092 = 29322169692275585762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3828979603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3004842 + ... + 3006115.

It is an arithmetic number, because the mean of its divisors is an integer number (399728707).

Almost surely, 23828979609 is an apocalyptic number.

It is an amenable number.

3828979609 is a deficient number, since it is larger than the sum of its proper divisors (967764875).

3828979609 is a wasteful number, since it uses less digits than its factorization.

3828979609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010984 (or 6010977 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 61.

The square root of 3828979609 is about 61878.7492520655. The cubic root of 3828979609 is about 1564.4475873584.

The spelling of 3828979609 in words is "three billion, eight hundred twenty-eight million, nine hundred seventy-nine thousand, six hundred nine".

Divisors: 1 7 13 49 91 637 6010957 42076699 78142441 294536893 546997087 3828979609