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81329976 = 233271312413
BaseRepresentation
bin1001101100011…
…11111100111000
312200000222202100
410312033330320
5131310024401
612023103400
72005202430
oct466177470
9180028670
1081329976
11419aa462
12232a1b60
1313b07860
14ab312c0
157217b86
hex4d8ff38

81329976 has 96 divisors (see below), whose sum is σ = 271121760. Its totient is φ = 21447936.

The previous prime is 81329971. The next prime is 81329977. The reversal of 81329976 is 67992318.

It is a super-2 number, since 2×813299762 = 13229129992321152, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81329971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346 + ... + 12758.

It is an arithmetic number, because the mean of its divisors is an integer number (2824185).

Almost surely, 281329976 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 81329976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135560880).

81329976 is an abundant number, since it is smaller than the sum of its proper divisors (189791784).

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

81329976 is a wasteful number, since it uses less digits than its factorization.

81329976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12445 (or 12438 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 81329976 is about 9018.3133678089. The cubic root of 81329976 is about 433.2616154816.

The spelling of 81329976 in words is "eighty-one million, three hundred twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 12413 24826 37239 49652 74478 86891 99304 111717 148956 161369 173782 223434 260673 297912 322738 347564 446868 484107 521346 645476 695128 782019 893736 968214 1042692 1129583 1290952 1452321 1564038 1936428 2085384 2259166 2904642 3128076 3388749 3872856 4518332 5809284 6256152 6777498 9036664 10166247 11618568 13554996 20332494 27109992 40664988 81329976