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82103552 = 281372341
BaseRepresentation
bin1001110010011…
…00110100000000
312201111021220022
410321030310000
5132004303202
612051433012
72014603646
oct471146400
9181437808
1082103552
1142388683
12235b5768
13140189ab
14ac93196
15731bea2
hex4e4cd00

82103552 has 36 divisors (see below), whose sum is σ = 165153156. Its totient is φ = 40734720.

The previous prime is 82103543. The next prime is 82103563. The reversal of 82103552 is 25530128.

It can be written as a sum of positive squares in 2 ways, for example, as 50922496 + 31181056 = 7136^2 + 5584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33902 + ... + 36242.

Almost surely, 282103552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82103552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82576578).

82103552 is an abundant number, since it is smaller than the sum of its proper divisors (83049604).

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

82103552 is a wasteful number, since it uses less digits than its factorization.

82103552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 82103552 is about 9061.1010368498. The cubic root of 82103552 is about 434.6309495955.

The spelling of 82103552 in words is "eighty-two million, one hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 548 1096 2192 2341 4384 4682 8768 9364 17536 18728 35072 37456 74912 149824 299648 320717 599296 641434 1282868 2565736 5131472 10262944 20525888 41051776 82103552