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81744468 = 223134711149
BaseRepresentation
bin1001101111101…
…01001001010100
312200211001022220
410313311021110
5131411310333
612040022340
72011550031
oct467651124
9180731286
1081744468
1142162913
12234619b0
1313c21410
14abdc388
15729a8b3
hex4df5254

81744468 has 48 divisors (see below), whose sum is σ = 209798400. Its totient is φ = 24614784.

The previous prime is 81744463. The next prime is 81744511. The reversal of 81744468 is 86444718.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81744463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758 + ... + 12906.

It is an arithmetic number, because the mean of its divisors is an integer number (4370800).

Almost surely, 281744468 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 81744468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104899200).

81744468 is an abundant number, since it is smaller than the sum of its proper divisors (128053932).

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

81744468 is a wasteful number, since it uses less digits than its factorization.

81744468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11216 (or 11214 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 81744468 is about 9041.2647345380. The cubic root of 81744468 is about 433.9963968639.

The spelling of 81744468 in words is "eighty-one million, seven hundred forty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 7332 11149 22298 33447 44596 66894 133788 144937 289874 434811 524003 579748 869622 1048006 1572009 1739244 2096012 3144018 6288036 6812039 13624078 20436117 27248156 40872234 81744468