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82441944 = 23321388079
BaseRepresentation
bin1001110100111…
…11011011011000
312202010111002100
410322133123120
5132101120234
612103003400
72020513344
oct472373330
9182114070
1082441944
1142599942
1223739560
1314106a20
14ad40624
157387399
hex4e9f6d8

82441944 has 48 divisors (see below), whose sum is σ = 240458400. Its totient is φ = 25366464.

The previous prime is 82441943. The next prime is 82441963. The reversal of 82441944 is 44914428.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 82441899 and 82441908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82441943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43104 + ... + 44975.

It is an arithmetic number, because the mean of its divisors is an integer number (5009550).

Almost surely, 282441944 is an apocalyptic number.

It is an amenable number.

82441944 is an abundant number, since it is smaller than the sum of its proper divisors (158016456).

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

82441944 is a wasteful number, since it uses less digits than its factorization.

82441944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88104 (or 88097 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 82441944 is about 9079.7546222351. The cubic root of 82441944 is about 435.2272455144.

The spelling of 82441944 in words is "eighty-two million, four hundred forty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 88079 176158 264237 352316 528474 704632 792711 1056948 1145027 1585422 2113896 2290054 3170844 3435081 4580108 6341688 6870162 9160216 10305243 13740324 20610486 27480648 41220972 82441944