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82011136 = 2102832
BaseRepresentation
bin1001110001101…
…10010000000000
312201022121010111
410320312100000
5131443324021
612045441104
72014040344
oct470662000
9181277114
1082011136
11423251a9
1223570194
1313cb58cc
14ac6b624
1572ee8e1
hex4e36400

82011136 has 33 divisors (see below), whose sum is σ = 164523531. Its totient is φ = 40860672.

The previous prime is 82011079. The next prime is 82011143. The reversal of 82011136 is 63111028.

The square root of 82011136 is 9056.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 289651 + ... + 289933.

Almost surely, 282011136 is an apocalyptic number.

82011136 is the 9056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82011136

82011136 is an abundant number, since it is smaller than the sum of its proper divisors (82512395).

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

82011136 is an frugal number, since it uses more digits than its factorization.

82011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The cubic root of 82011136 is about 434.4678144126.

The spelling of 82011136 in words is "eighty-two million, eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 283 512 566 1024 1132 2264 4528 9056 18112 36224 72448 80089 144896 160178 289792 320356 640712 1281424 2562848 5125696 10251392 20502784 41005568 82011136