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81383544 = 233211211487
BaseRepresentation
bin1001101100111…
…01000001111000
312200010201020100
410312131001320
5131313233134
612024155400
72005514544
oct466350170
9180121210
1081383544
1141a36730
1223308b60
1313b26058
14ab46a24
157228999
hex4d9d078

81383544 has 96 divisors (see below), whose sum is σ = 242087040. Its totient is φ = 24494400.

The previous prime is 81383543. The next prime is 81383569. The reversal of 81383544 is 44538318.

81383544 is a `hidden beast` number, since 81 + 38 + 3 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 81383499 and 81383508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81383543) 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 23 ways as a sum of consecutive naturals, for example, 166869 + ... + 167355.

It is an arithmetic number, because the mean of its divisors is an integer number (2521740).

Almost surely, 281383544 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 81383544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121043520).

81383544 is an abundant number, since it is smaller than the sum of its proper divisors (160703496).

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

81383544 is a wasteful number, since it uses less digits than its factorization.

81383544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 714 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 81383544 is about 9021.2828356060. The cubic root of 81383544 is about 433.3567172128.

The spelling of 81383544 in words is "eighty-one million, three hundred eighty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 211 264 396 422 487 633 792 844 974 1266 1461 1688 1899 1948 2321 2532 2922 3798 3896 4383 4642 5064 5357 5844 6963 7596 8766 9284 10714 11688 13926 15192 16071 17532 18568 20889 21428 27852 32142 35064 41778 42856 48213 55704 64284 83556 96426 102757 128568 167112 192852 205514 308271 385704 411028 616542 822056 924813 1130327 1233084 1849626 2260654 2466168 3390981 3699252 4521308 6781962 7398504 9042616 10172943 13563924 20345886 27127848 40691772 81383544