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83048 = 2371483
BaseRepresentation
bin10100010001101000
311012220212
4110101220
510124143
61440252
7464060
oct242150
9135825
1083048
1157439
1240088
132ba54
14223a0
1519918
hex14468

83048 has 16 divisors (see below), whose sum is σ = 178080. Its totient is φ = 35568.

The previous prime is 83047. The next prime is 83059. The reversal of 83048 is 84038.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 686 + ... + 797.

It is an arithmetic number, because the mean of its divisors is an integer number (11130).

283048 is an apocalyptic number.

It is an amenable number.

83048 is an abundant number, since it is smaller than the sum of its proper divisors (95032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89040).

83048 is a wasteful number, since it uses less digits than its factorization.

83048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 83048 is about 288.1804989933. The cubic root of 83048 is about 43.6291139050.

Subtracting 83048 from its reverse (84038), we obtain a triangular number (990 = T44).

It can be divided in two parts, 830 and 48, that added together give a palindrome (878).

The spelling of 83048 in words is "eighty-three thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 56 1483 2966 5932 10381 11864 20762 41524 83048