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81316312 = 237111011307
BaseRepresentation
bin1001101100011…
…00100111011000
312200000022000021
410312030213120
5131304110222
612022520224
72005114540
oct466144730
9180008007
1081316312
11419a0170
1223296074
1313b0157c
14ab2a320
157213ac7
hex4d8c9d8

81316312 has 64 divisors (see below), whose sum is σ = 192119040. Its totient is φ = 31344000.

The previous prime is 81316283. The next prime is 81316349. The reversal of 81316312 is 21361318.

It is a super-2 number, since 2×813163122 = 13224685194562688, which contains 22 as substring.

It is a congruent number.

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, 61563 + ... + 62869.

It is an arithmetic number, because the mean of its divisors is an integer number (3001860).

Almost surely, 281316312 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 81316312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96059520).

81316312 is an abundant number, since it is smaller than the sum of its proper divisors (110802728).

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

81316312 is a wasteful number, since it uses less digits than its factorization.

81316312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1428 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 81316312 is about 9017.5557663926. Note that the first 3 decimals coincide. The cubic root of 81316312 is about 433.2373504706.

The spelling of 81316312 in words is "eighty-one million, three hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 154 202 308 404 616 707 808 1111 1307 1414 2222 2614 2828 4444 5228 5656 7777 8888 9149 10456 14377 15554 18298 28754 31108 36596 57508 62216 73192 100639 115016 132007 201278 264014 402556 528028 805112 924049 1056056 1452077 1848098 2904154 3696196 5808308 7392392 10164539 11616616 20329078 40658156 81316312