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81322496 = 29295477
BaseRepresentation
bin1001101100011…
…10001000000000
312200000121111022
410312032020000
5131304304441
612023005012
72005141553
oct466161000
9180017438
1081322496
11419a4882
1223299768
1313b04328
14ab2c69a
15721584b
hex4d8e200

81322496 has 40 divisors (see below), whose sum is σ = 168119820. Its totient is φ = 39251968.

The previous prime is 81322469. The next prime is 81322499. The reversal of 81322496 is 69422318.

It can be written as a sum of positive squares in 2 ways, for example, as 69488896 + 11833600 = 8336^2 + 3440^2 .

It is a super-2 number, since 2×813224962 = 13226696711340032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81322499) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12110 + ... + 17586.

Almost surely, 281322496 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 81322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84059910).

81322496 is an abundant number, since it is smaller than the sum of its proper divisors (86797324).

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

81322496 is an equidigital number, since it uses as much as digits as its factorization.

81322496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5508 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 81322496 is about 9017.8986465806. The cubic root of 81322496 is about 433.2483325716.

It can be divided in two parts, 81322 and 496, that added together give a palindrome (81818).

The spelling of 81322496 in words is "eighty-one million, three hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 5477 7424 10954 14848 21908 43816 87632 158833 175264 317666 350528 635332 701056 1270664 1402112 2541328 2804224 5082656 10165312 20330624 40661248 81322496