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81717384 = 23374011213
BaseRepresentation
bin1001101111011…
…10100010001000
312200202200011210
410313232202020
5131404424014
612035253120
72011405050
oct467564210
9180680153
1081717384
1142144531
122344a1a0
1313c11ca8
14abd2560
157292859
hex4dee888

81717384 has 64 divisors (see below), whose sum is σ = 234253440. Its totient is φ = 23270400.

The previous prime is 81717371. The next prime is 81717431. The reversal of 81717384 is 48371718.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 66762 + ... + 67974.

It is an arithmetic number, because the mean of its divisors is an integer number (3660210).

Almost surely, 281717384 is an apocalyptic number.

81717384 is a gapful number since it is divisible by the number (84) 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 81717384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117126720).

81717384 is an abundant number, since it is smaller than the sum of its proper divisors (152536056).

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

81717384 is a wasteful number, since it uses less digits than its factorization.

81717384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1626 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 81717384 is about 9039.7668111517. The cubic root of 81717384 is about 433.9484602589.

The spelling of 81717384 in words is "eighty-one million, seven hundred seventeen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 401 802 1203 1213 1604 2406 2426 2807 3208 3639 4812 4852 5614 7278 8421 8491 9624 9704 11228 14556 16842 16982 22456 25473 29112 33684 33964 50946 67368 67928 101892 203784 486413 972826 1459239 1945652 2918478 3404891 3891304 5836956 6809782 10214673 11673912 13619564 20429346 27239128 40858692 81717384