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3828464641 = 19227887657
BaseRepresentation
bin1110010000110001…
…1011110000000001
3100212210221011011201
43210030123300001
530320041332031
61431521141201
7163605261331
oct34414336001
910783834151
103828464641
111695083171
128aa18a801
134902225c1
142846610c1
1517618ed61
hexe431bc01

3828464641 has 8 divisors (see below), whose sum is σ = 4047720480. Its totient is φ = 3610984608.

The previous prime is 3828464611. The next prime is 3828464659. The reversal of 3828464641 is 1464648283.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3828464641 - 211 = 3828462593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3828464591 and 3828464600.

It is not an unprimeable number, because it can be changed into a prime (3828464611) 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 7 ways as a sum of consecutive naturals, for example, 439516 + ... + 448141.

It is an arithmetic number, because the mean of its divisors is an integer number (505965060).

Almost surely, 23828464641 is an apocalyptic number.

It is an amenable number.

3828464641 is a deficient number, since it is larger than the sum of its proper divisors (219255839).

3828464641 is a wasteful number, since it uses less digits than its factorization.

3828464641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887903.

The product of its digits is 884736, while the sum is 46.

The square root of 3828464641 is about 61874.5880067092. The cubic root of 3828464641 is about 1564.3774488666.

The spelling of 3828464641 in words is "three billion, eight hundred twenty-eight million, four hundred sixty-four thousand, six hundred forty-one".

Divisors: 1 19 227 4313 887657 16865483 201498139 3828464641