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81415936 = 28745433
BaseRepresentation
bin1001101101001…
…00111100000000
312200012100200001
410312210330000
5131320302221
612025005344
72006011150
oct466447400
9180170601
1081415936
1141a58aa8
1223323854
1313b37a14
14ab54760
157233391
hex4da4f00

81415936 has 36 divisors (see below), whose sum is σ = 185734192. Its totient is φ = 34891776.

The previous prime is 81415903. The next prime is 81415991. The reversal of 81415936 is 63951418.

It is a junction number, because it is equal to n+sod(n) for n = 81415895 and 81415904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20925 + ... + 24508.

Almost surely, 281415936 is an apocalyptic number.

It is an amenable number.

81415936 is an abundant number, since it is smaller than the sum of its proper divisors (104318256).

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

81415936 is an equidigital number, since it uses as much as digits as its factorization.

81415936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45456 (or 45442 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 81415936 is about 9023.0779670797. The cubic root of 81415936 is about 433.4142039730.

The spelling of 81415936 in words is "eighty-one million, four hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 45433 90866 181732 318031 363464 636062 726928 1272124 1453856 2544248 2907712 5088496 5815424 10176992 11630848 20353984 40707968 81415936