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81349136 = 24111513061
BaseRepresentation
bin1001101100101…
…00101000010000
312200001222000222
410312110220100
5131311133021
612023332212
72005312331
oct466245020
9180058028
1081349136
1141a128a0
12232b1068
1313b134ab
14ab38288
15721d6ab
hex4d94a10

81349136 has 40 divisors (see below), whose sum is σ = 173137728. Its totient is φ = 36720000.

The previous prime is 81349133. The next prime is 81349139. The reversal of 81349136 is 63194318.

It is an interprime number because it is at equal distance from previous prime (81349133) and next prime (81349139).

It is a junction number, because it is equal to n+sod(n) for n = 81349096 and 81349105.

It is not an unprimeable number, because it can be changed into a prime (81349133) 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, 25046 + ... + 28106.

Almost surely, 281349136 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 81349136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86568864).

81349136 is an abundant number, since it is smaller than the sum of its proper divisors (91788592).

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

81349136 is a wasteful number, since it uses less digits than its factorization.

81349136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3225 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 81349136 is about 9019.3755881436. The cubic root of 81349136 is about 433.2956359054.

The spelling of 81349136 in words is "eighty-one million, three hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 151 176 302 604 1208 1661 2416 3061 3322 6122 6644 12244 13288 24488 26576 33671 48976 67342 134684 269368 462211 538736 924422 1848844 3697688 5084321 7395376 10168642 20337284 40674568 81349136