Search a number
-
+
82376844 = 22311624067
BaseRepresentation
bin1001110100011…
…11100010001100
312202000011210020
410322033202030
5132042024334
612101342140
72020122504
oct472174214
9182004706
1082376844
1142554a40
1223707950
13140b31c4
14ad24a04
157372e49
hex4e8f88c

82376844 has 24 divisors (see below), whose sum is σ = 209686848. Its totient is φ = 24962640.

The previous prime is 82376843. The next prime is 82376857. The reversal of 82376844 is 44867328.

It is a junction number, because it is equal to n+sod(n) for n = 82376796 and 82376805.

It is not an unprimeable number, because it can be changed into a prime (82376843) 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, 311902 + ... + 312165.

It is an arithmetic number, because the mean of its divisors is an integer number (8736952).

Almost surely, 282376844 is an apocalyptic number.

It is an amenable number.

82376844 is an abundant number, since it is smaller than the sum of its proper divisors (127310004).

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

82376844 is a wasteful number, since it uses less digits than its factorization.

82376844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624085 (or 624083 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 82376844 is about 9076.1690156145. The cubic root of 82376844 is about 435.1126567774.

The spelling of 82376844 in words is "eighty-two million, three hundred seventy-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 624067 1248134 1872201 2496268 3744402 6864737 7488804 13729474 20594211 27458948 41188422 82376844