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81384408 = 233271131429
BaseRepresentation
bin1001101100111…
…01001111011000
312200010202102100
410312131033120
5131313300113
612024203400
72005520220
oct466351730
9180122370
1081384408
1141a37346
1223309560
1313b26571
14ab47080
157228d73
hex4d9d3d8

81384408 has 96 divisors (see below), whose sum is σ = 254311200. Its totient is φ = 23030784.

The previous prime is 81384383. The next prime is 81384409. The reversal of 81384408 is 80448318.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81384409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56238 + ... + 57666.

It is an arithmetic number, because the mean of its divisors is an integer number (2649075).

Almost surely, 281384408 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 81384408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127155600).

81384408 is an abundant number, since it is smaller than the sum of its proper divisors (172926792).

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

81384408 is a wasteful number, since it uses less digits than its factorization.

81384408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1554 counting only the distinct ones).

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

The square root of 81384408 is about 9021.3307222383. The cubic root of 81384408 is about 433.3582507697.

The spelling of 81384408 in words is "eighty-one million, three hundred eighty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 504 678 791 904 1017 1356 1429 1582 2034 2373 2712 2858 3164 4068 4287 4746 5716 6328 7119 8136 8574 9492 10003 11432 12861 14238 17148 18984 20006 25722 28476 30009 34296 40012 51444 56952 60018 80024 90027 102888 120036 161477 180054 240072 322954 360108 484431 645908 720216 968862 1130339 1291816 1453293 1937724 2260678 2906586 3391017 3875448 4521356 5813172 6782034 9042712 10173051 11626344 13564068 20346102 27128136 40692204 81384408