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81332784 = 243213231889
BaseRepresentation
bin1001101100100…
…00101000110000
312200001010121100
410312100220300
5131310122114
612023124400
72005213551
oct466205060
9180033540
1081332784
1141a01585
12232a3700
1313b08c10
14ab32328
157218909
hex4d90a30

81332784 has 120 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 23924736.

The previous prime is 81332759. The next prime is 81332813. The reversal of 81332784 is 48723318.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42112 + ... + 44000.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 281332784 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 81332784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

81332784 is an abundant number, since it is smaller than the sum of its proper divisors (174588336).

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

81332784 is a wasteful number, since it uses less digits than its factorization.

81332784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1930 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 81332784 is about 9018.4690496780. The cubic root of 81332784 is about 433.2666016899.

The spelling of 81332784 in words is "eighty-one million, three hundred thirty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1656 1794 1872 1889 2392 2691 3312 3588 3778 4784 5382 5667 7176 7556 10764 11334 14352 15112 17001 21528 22668 24557 30224 34002 43056 43447 45336 49114 68004 73671 86894 90672 98228 130341 136008 147342 173788 196456 221013 260682 272016 294684 347576 391023 392912 442026 521364 564811 589368 695152 782046 884052 1042728 1129622 1178736 1564092 1694433 1768104 2085456 2259244 3128184 3388866 3536208 4518488 5083299 6256368 6777732 9036976 10166598 13555464 20333196 27110928 40666392 81332784