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81380832 = 25313611069
BaseRepresentation
bin1001101100111…
…00010111100000
312200010120111220
410312130113200
5131313141312
612024135040
72005503621
oct466342740
9180116456
1081380832
1141a34695
1223307480
1313b24a50
14ab45a48
157227c8c
hex4d9c5e0

81380832 has 96 divisors (see below), whose sum is σ = 234047520. Its totient is φ = 24606720.

The previous prime is 81380807. The next prime is 81380833. The reversal of 81380832 is 23808318.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 81380793 and 81380802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81380833) 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 15 ways as a sum of consecutive naturals, for example, 75594 + ... + 76662.

It is an arithmetic number, because the mean of its divisors is an integer number (2437995).

Almost surely, 281380832 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 81380832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117023760).

81380832 is an abundant number, since it is smaller than the sum of its proper divisors (152666688).

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

81380832 is a wasteful number, since it uses less digits than its factorization.

81380832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 81380832 is about 9021.1325231370. The cubic root of 81380832 is about 433.3519034777.

The spelling of 81380832 in words is "eighty-one million, three hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 183 208 244 312 366 416 488 624 732 793 976 1069 1248 1464 1586 1952 2138 2379 2928 3172 3207 4276 4758 5856 6344 6414 8552 9516 12688 12828 13897 17104 19032 25376 25656 27794 34208 38064 41691 51312 55588 65209 76128 83382 102624 111176 130418 166764 195627 222352 260836 333528 391254 444704 521672 667056 782508 847717 1043344 1334112 1565016 1695434 2086688 2543151 3130032 3390868 5086302 6260064 6781736 10172604 13563472 20345208 27126944 40690416 81380832