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81484128 = 25321117289
BaseRepresentation
bin1001101101101…
…01100101100000
312200022211012200
410312311211200
5131324443003
612030253200
72006414025
oct466654540
9180284180
1081484128
1141aa5260
1223357200
1313b5ca7b
14ab7154c
1572486a3
hex4db5960

81484128 has 216 divisors, whose sum is σ = 271547640. Its totient is φ = 22978560.

The previous prime is 81484121. The next prime is 81484153. The reversal of 81484128 is 82148418.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 81484092 and 81484101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81484121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 915508 + ... + 915596.

It is an arithmetic number, because the mean of its divisors is an integer number (1257165).

Almost surely, 281484128 is an apocalyptic number.

81484128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81484128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135773820).

81484128 is an abundant number, since it is smaller than the sum of its proper divisors (190063512).

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

81484128 is a wasteful number, since it uses less digits than its factorization.

81484128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 81484128 is about 9026.8559310537. The cubic root of 81484128 is about 433.5351759230.

The spelling of 81484128 in words is "eighty-one million, four hundred eighty-four thousand, one hundred twenty-eight".