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81336768 = 263537993
BaseRepresentation
bin1001101100100…
…01100111000000
312200001100001220
410312101213000
5131310234033
612023155040
72005231302
oct466214700
9180040056
1081336768
1141a04577
12232a5a80
1313b0a986
14ab33972
157219bb3
hex4d919c0

81336768 has 56 divisors (see below), whose sum is σ = 219291408. Its totient is φ = 26597376.

The previous prime is 81336733. The next prime is 81336803. The reversal of 81336768 is 86763318.

It is an interprime number because it is at equal distance from previous prime (81336733) and next prime (81336803).

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 7 ways as a sum of consecutive naturals, for example, 6180 + ... + 14172.

It is an arithmetic number, because the mean of its divisors is an integer number (3915918).

Almost surely, 281336768 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 81336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109645704).

81336768 is an abundant number, since it is smaller than the sum of its proper divisors (137954640).

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

81336768 is a wasteful number, since it uses less digits than its factorization.

81336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061 (or 8051 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 81336768 is about 9018.6899270349. The cubic root of 81336768 is about 433.2736759425.

The spelling of 81336768 in words is "eighty-one million, three hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 5088 7993 10176 15986 23979 31972 47958 63944 95916 127888 191832 255776 383664 423629 511552 767328 847258 1270887 1534656 1694516 2541774 3389032 5083548 6778064 10167096 13556128 20334192 27112256 40668384 81336768