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81608640 = 263585009
BaseRepresentation
bin1001101110100…
…11111111000000
312200120011000020
410313103333000
5131342434030
612033053440
72010443031
oct467237700
9180504006
1081608640
114207a863
12233b7280
1313ba4649
14aba4a88
157270510
hex4dd3fc0

81608640 has 56 divisors (see below), whose sum is σ = 259110480. Its totient is φ = 21762048.

The previous prime is 81608633. The next prime is 81608729. The reversal of 81608640 is 4680618.

It is a super-3 number, since 3×816086403 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41545 + ... + 43464.

Almost surely, 281608640 is an apocalyptic number.

81608640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81608640 is an abundant number, since it is smaller than the sum of its proper divisors (177501840).

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

81608640 is a wasteful number, since it uses less digits than its factorization.

81608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85029 (or 85019 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 81608640 is about 9033.7500518888. The cubic root of 81608640 is about 433.7558850007.

The spelling of 81608640 in words is "eighty-one million, six hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 85009 170018 255027 340036 425045 510054 680072 850090 1020108 1275135 1360144 1700180 2040216 2550270 2720288 3400360 4080432 5100540 5440576 6800720 8160864 10201080 13601440 16321728 20402160 27202880 40804320 81608640