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81297888 = 2537311389
BaseRepresentation
bin1001101100010…
…00000111100000
312122222100201220
410312020013200
5131303013023
612022255040
72005010040
oct466100740
9178870656
1081297888
1141988341
1223287480
1313ac6079
14ab23720
15720d3e3
hex4d881e0

81297888 has 96 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 23093760.

The previous prime is 81297869. The next prime is 81297889. The reversal of 81297888 is 88879218.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 81297888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81297889) 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, 208798 + ... + 209186.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 281297888 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 81297888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

81297888 is an abundant number, since it is smaller than the sum of its proper divisors (164008992).

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

81297888 is a wasteful number, since it uses less digits than its factorization.

81297888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its digits is 516096, while the sum is 51.

The square root of 81297888 is about 9016.5341456682. The cubic root of 81297888 is about 433.2046281805.

The spelling of 81297888 in words is "eighty-one million, two hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 311 336 389 622 672 778 933 1167 1244 1556 1866 2177 2334 2488 2723 3112 3732 4354 4668 4976 5446 6224 6531 7464 8169 8708 9336 9952 10892 12448 13062 14928 16338 17416 18672 21784 26124 29856 32676 34832 37344 43568 52248 65352 69664 87136 104496 120979 130704 208992 241958 261408 362937 483916 725874 846853 967832 1451748 1693706 1935664 2540559 2903496 3387412 3871328 5081118 5806992 6774824 10162236 11613984 13549648 20324472 27099296 40648944 81297888