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81726912 = 26322331199
BaseRepresentation
bin1001101111100…
…00110111000000
312200210011020200
410313300313000
5131410230122
612035405200
72011444611
oct467606700
9180704220
1081726912
1142150703
1223453800
1313c16427
14abd5c08
1572955ac
hex4df0dc0

81726912 has 168 divisors, whose sum is σ = 253593600. Its totient is φ = 25090560.

The previous prime is 81726907. The next prime is 81726919. The reversal of 81726912 is 21962718.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81726919) 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 23 ways as a sum of consecutive naturals, for example, 410589 + ... + 410787.

Almost surely, 281726912 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 81726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126796800).

81726912 is an abundant number, since it is smaller than the sum of its proper divisors (171866688).

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

81726912 is a wasteful number, since it uses less digits than its factorization.

81726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 81726912 is about 9040.2938005355. The cubic root of 81726912 is about 433.9653252964.

It can be divided in two parts, 817269 and 12, that added together give a triangular number (817281 = T1278).

The spelling of 81726912 in words is "eighty-one million, seven hundred twenty-six thousand, nine hundred twelve".