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38819441 = 1931971021
BaseRepresentation
bin1001010000010…
…1011001110001
32201001020021002
42110011121301
534414210231
63504011345
7650650133
oct224053161
981036232
1038819441
111aa04691
1211000b55
1380723ab
145227053
15361c0cb
hex2505671

38819441 has 8 divisors (see below), whose sum is σ = 39257064. Its totient is φ = 38384640.

The previous prime is 38819419. The next prime is 38819461. The reversal of 38819441 is 14491883.

It can be written as a sum of positive squares in 4 ways, for example, as 13104400 + 25715041 = 3620^2 + 5071^2 .

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 38819441 - 218 = 38557297 is a prime.

It is a super-3 number, since 3×388194413 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38819395 and 38819404.

It is not an unprimeable number, because it can be changed into a prime (38819461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37511 + ... + 38531.

It is an arithmetic number, because the mean of its divisors is an integer number (4907133).

Almost surely, 238819441 is an apocalyptic number.

It is an amenable number.

38819441 is a deficient number, since it is larger than the sum of its proper divisors (437623).

38819441 is a wasteful number, since it uses less digits than its factorization.

38819441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411.

The product of its digits is 27648, while the sum is 38.

The square root of 38819441 is about 6230.5249377560. The cubic root of 38819441 is about 338.5969894881.

The spelling of 38819441 in words is "thirty-eight million, eight hundred nineteen thousand, four hundred forty-one".

Divisors: 1 193 197 1021 38021 197053 201137 38819441