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82555200 = 2634527213
BaseRepresentation
bin1001110101110…
…11000101000000
312202100020110000
410322323011000
5132113231300
612105240000
72021464500
oct472730500
9182306400
1082555200
1142666a42
1223793000
1314146440
14ad6da00
1573aac00
hex4ebb140

82555200 has 630 divisors, whose sum is σ = 380148846. Its totient is φ = 17418240.

The previous prime is 82555159. The next prime is 82555223. The reversal of 82555200 is 255528.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 82301184 = 504^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a super-2 number, since 2×825552002 = 13630722094080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6350394 + ... + 6350406.

Almost surely, 282555200 is an apocalyptic number.

82555200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190074423).

82555200 is an abundant number, since it is smaller than the sum of its proper divisors (297593646).

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

82555200 is a wasteful number, since it uses less digits than its factorization.

82555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 82555200 is about 9085.9892141693. The cubic root of 82555200 is about 435.4264545569.

The spelling of 82555200 in words is "eighty-two million, five hundred fifty-five thousand, two hundred".