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81333342 = 23329167311
BaseRepresentation
bin1001101100100…
…00110001011110
312200001011101000
410312100301132
5131310131332
612023131130
72005215306
oct466206136
9180034330
1081333342
1141a01a42
12232a3aa6
1313b0924c
14ab32606
157218b7c
hex4d90c5e

81333342 has 64 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 25935840.

The previous prime is 81333337. The next prime is 81333349. The reversal of 81333342 is 24333318.

It is a super-2 number, since 2×813333422 = 13230225041777928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81333349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 261367 + ... + 261677.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 281333342 is an apocalyptic number.

It is a pronic number, being equal to 9018×9019.

It is a practical number, because each smaller number is the sum of distinct divisors of 81333342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

81333342 is an abundant number, since it is smaller than the sum of its proper divisors (107364258).

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

81333342 is a wasteful number, since it uses less digits than its factorization.

81333342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 81333342 is about 9018.4999861396. The cubic root of 81333342 is about 433.2675925254.

The spelling of 81333342 in words is "eighty-one million, three hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 167 174 261 311 334 501 522 622 783 933 1002 1503 1566 1866 2799 3006 4509 4843 5598 8397 9018 9019 9686 14529 16794 18038 27057 29058 43587 51937 54114 81171 87174 103874 130761 155811 162342 243513 261522 311622 467433 487026 934866 1402299 1506173 2804598 3012346 4518519 9037038 13555557 27111114 40666671 81333342