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81918312 = 23372831723
BaseRepresentation
bin1001110000111…
…11100101101000
312201010212210120
410320133211220
5131432341222
612043443240
72013202620
oct470374550
9181125716
1081918312
1142271493
1223526520
1313c82598
14ac45880
1572d215c
hex4e1f968

81918312 has 64 divisors (see below), whose sum is σ = 235015680. Its totient is φ = 23308992.

The previous prime is 81918289. The next prime is 81918323. The reversal of 81918312 is 21381918.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46683 + ... + 48405.

It is an arithmetic number, because the mean of its divisors is an integer number (3672120).

Almost surely, 281918312 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 81918312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117507840).

81918312 is an abundant number, since it is smaller than the sum of its proper divisors (153097368).

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

81918312 is a wasteful number, since it uses less digits than its factorization.

81918312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 81918312 is about 9050.8735490007. The cubic root of 81918312 is about 434.3038356028.

The spelling of 81918312 in words is "eighty-one million, nine hundred eighteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 566 849 1132 1698 1723 1981 2264 3396 3446 3962 5169 5943 6792 6892 7924 10338 11886 12061 13784 15848 20676 23772 24122 36183 41352 47544 48244 72366 96488 144732 289464 487609 975218 1462827 1950436 2925654 3413263 3900872 5851308 6826526 10239789 11702616 13653052 20479578 27306104 40959156 81918312