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1448338441 = 111944315643
BaseRepresentation
bin101011001010011…
…1110010000001001
310201221022012211111
41112110332100021
510431233312231
6355414530321
750614450024
oct12624762011
93657265744
101448338441
11683605120
123450669a1
131a10a47c4
14da4d61bb
15872424b1
hex5653e409

1448338441 has 16 divisors (see below), whose sum is σ = 1667024640. Its totient is φ = 1244477520.

The previous prime is 1448338429. The next prime is 1448338457.

1448338441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1448338441 - 225 = 1414784009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1448338394 and 1448338403.

It is not an unprimeable number, because it can be changed into a prime (1448333441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84766 + ... + 100408.

It is an arithmetic number, because the mean of its divisors is an integer number (104189040).

Almost surely, 21448338441 is an apocalyptic number.

1448338441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1448338441 is a deficient number, since it is larger than the sum of its proper divisors (218686199).

1448338441 is a wasteful number, since it uses less digits than its factorization.

1448338441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16116.

The product of its digits is 147456, while the sum is 40.

The square root of 1448338441 is about 38057.0419370713. The cubic root of 1448338441 is about 1131.4187002522.

It can be divided in two parts, 1448 and 338441, that added together give a square (339889 = 5832).

The spelling of 1448338441 in words is "one billion, four hundred forty-eight million, three hundred thirty-eight thousand, four hundred forty-one".

Divisors: 1 11 19 209 443 4873 8417 15643 92587 172073 297217 3269387 6929849 76228339 131667131 1448338441