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81816784 = 2471797443
BaseRepresentation
bin1001110000001…
…10110011010000
312200221201112021
410320012303100
5131421114114
612041341224
72012300620
oct470066320
9180851467
1081816784
1142202185
1223497814
1313c482ca
14ac1a880
1572b2024
hex4e06cd0

81816784 has 80 divisors (see below), whose sum is σ = 194237568. Its totient is φ = 32587776.

The previous prime is 81816751. The next prime is 81816809. The reversal of 81816784 is 48761818.

It is a super-2 number, since 2×818167842 = 13387972288205312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81816784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184467 + ... + 184909.

Almost surely, 281816784 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 81816784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97118784).

81816784 is an abundant number, since it is smaller than the sum of its proper divisors (112420784).

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

81816784 is a wasteful number, since it uses less digits than its factorization.

81816784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 566 counting only the distinct ones).

The product of its digits is 86016, while the sum is 43.

The square root of 81816784 is about 9045.2630696957. The cubic root of 81816784 is about 434.1243387857.

The spelling of 81816784 in words is "eighty-one million, eight hundred sixteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 97 112 119 136 194 238 272 388 443 476 679 776 886 952 1358 1552 1649 1772 1904 2716 3101 3298 3544 5432 6202 6596 7088 7531 10864 11543 12404 13192 15062 23086 24808 26384 30124 42971 46172 49616 52717 60248 85942 92344 105434 120496 171884 184688 210868 300797 343768 421736 601594 687536 730507 843472 1203188 1461014 2406376 2922028 4812752 5113549 5844056 10227098 11688112 20454196 40908392 81816784