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83444112 = 2432579473
BaseRepresentation
bin1001111100101…
…00000110010000
312211000101210200
410332110012100
5132330202422
612140255200
72032156203
oct476240620
9184011720
1083444112
1143113884
1223b41500
1314397c1b
14b12193a
1574d42ac
hex4f94190

83444112 has 30 divisors (see below), whose sum is σ = 233528022. Its totient is φ = 27814656.

The previous prime is 83444021. The next prime is 83444117. The reversal of 83444112 is 21144438.

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 12278016 = 8436^2 + 3504^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83444117) 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 5 ways as a sum of consecutive naturals, for example, 289593 + ... + 289880.

Almost surely, 283444112 is an apocalyptic number.

It is an amenable number.

83444112 is an abundant number, since it is smaller than the sum of its proper divisors (150083910).

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

83444112 is a wasteful number, since it uses less digits than its factorization.

83444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579487 (or 579478 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 83444112 is about 9134.7748740733. The cubic root of 83444112 is about 436.9836948256.

The spelling of 83444112 in words is "eighty-three million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 579473 1158946 1738419 2317892 3476838 4635784 5215257 6953676 9271568 10430514 13907352 20861028 27814704 41722056 83444112