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81288580 = 2255577297
BaseRepresentation
bin1001101100001…
…01110110000100
312122221212222011
410312011312010
5131302213310
612022144004
72004640642
oct466056604
9178855864
1081288580
114198134a
1223282004
1313ac1a69
14ab20192
15720a78a
hex4d85d84

81288580 has 24 divisors (see below), whose sum is σ = 171035928. Its totient is φ = 32452608.

The previous prime is 81288569. The next prime is 81288583. The reversal of 81288580 is 8588218.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 81288256 = 18^2 + 9016^2 .

It is not an unprimeable number, because it can be changed into a prime (81288583) 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, 7492 + ... + 14788.

It is an arithmetic number, because the mean of its divisors is an integer number (7126497).

Almost surely, 281288580 is an apocalyptic number.

It is an amenable number.

81288580 is an abundant number, since it is smaller than the sum of its proper divisors (89747348).

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

81288580 is a wasteful number, since it uses less digits than its factorization.

81288580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7863 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 40.

The square root of 81288580 is about 9016.0179680389. The cubic root of 81288580 is about 433.1880946531.

The spelling of 81288580 in words is "eighty-one million, two hundred eighty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 557 1114 2228 2785 5570 7297 11140 14594 29188 36485 72970 145940 4064429 8128858 16257716 20322145 40644290 81288580