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81467776 = 2713173283
BaseRepresentation
bin1001101101100…
…01100110000000
312200021222210001
410312301212000
5131323432101
612030045344
72006315245
oct466614600
9180258701
1081467776
1141a93a45
1223349854
1313b554b0
14ab695cc
157243901
hex4db1980

81467776 has 64 divisors (see below), whose sum is σ = 176415120. Its totient is φ = 37251072.

The previous prime is 81467773. The next prime is 81467797. The reversal of 81467776 is 67776418.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81467773) by changing a digit.

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, 287731 + ... + 288013.

Almost surely, 281467776 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 81467776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88207560).

81467776 is an abundant number, since it is smaller than the sum of its proper divisors (94947344).

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

81467776 is a wasteful number, since it uses less digits than its factorization.

81467776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its digits is 395136, while the sum is 46.

The square root of 81467776 is about 9025.9501438907. The cubic root of 81467776 is about 433.5061737863.

The spelling of 81467776 in words is "eighty-one million, four hundred sixty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 173 208 283 346 416 566 692 832 1132 1384 1664 2249 2264 2768 3679 4498 4528 5536 7358 8996 9056 11072 14716 17992 18112 22144 29432 35984 36224 48959 58864 71968 97918 117728 143936 195836 235456 287872 391672 470912 636467 783344 1272934 1566688 2545868 3133376 5091736 6266752 10183472 20366944 40733888 81467776