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81271296 = 29335879
BaseRepresentation
bin1001101100000…
…01101000000000
312122221000021000
410312001220000
5131301140141
612021532000
72004536361
oct466015000
9178830230
1081271296
114196a367
1223274000
1313ab6c32
14ab17b68
1572055b6
hex4d81a00

81271296 has 80 divisors (see below), whose sum is σ = 240609600. Its totient is φ = 27085824.

The previous prime is 81271241. The next prime is 81271297. The reversal of 81271296 is 69217218.

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

It is a self number, because there is not a number n which added to its sum of digits gives 81271296.

It is not an unprimeable number, because it can be changed into a prime (81271297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10885 + ... + 16763.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 281271296 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 81271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120304800).

81271296 is an abundant number, since it is smaller than the sum of its proper divisors (159338304).

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

81271296 is an equidigital number, since it uses as much as digits as its factorization.

81271296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5884 counting only the distinct ones).

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

The square root of 81271296 is about 9015.0594008026. The cubic root of 81271296 is about 433.1573902428.

The spelling of 81271296 in words is "eighty-one million, two hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 5879 6912 11758 13824 17637 23516 35274 47032 52911 70548 94064 105822 141096 158733 188128 211644 282192 317466 376256 423288 564384 634932 752512 846576 1128768 1269864 1505024 1693152 2257536 2539728 3010048 3386304 4515072 5079456 6772608 9030144 10158912 13545216 20317824 27090432 40635648 81271296