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81841464 = 23321318677
BaseRepresentation
bin1001110000011…
…00110100111000
312200222222101100
410320030310320
5131422411324
612042051400
72012432565
oct470146470
9180888340
1081841464
1142219781
12234a9b60
1313c56603
14ac2586c
1572b94c9
hex4e0cd38

81841464 has 48 divisors (see below), whose sum is σ = 223371720. Its totient is φ = 27069120.

The previous prime is 81841439. The next prime is 81841469. The reversal of 81841464 is 46414818.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81841469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5094 + ... + 13770.

Almost surely, 281841464 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 81841464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111685860).

81841464 is an abundant number, since it is smaller than the sum of its proper divisors (141530256).

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

81841464 is a wasteful number, since it uses less digits than its factorization.

81841464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8820 (or 8813 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 81841464 is about 9046.6272168140. The cubic root of 81841464 is about 434.1679855415.

The spelling of 81841464 in words is "eighty-one million, eight hundred forty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 8677 9432 17354 26031 34708 52062 69416 78093 104124 156186 208248 312372 624744 1136687 2273374 3410061 4546748 6820122 9093496 10230183 13640244 20460366 27280488 40920732 81841464