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81131544 = 2334139631
BaseRepresentation
bin1001101010111…
…11100000011000
312122122220120000
410311133200120
5131232202134
612014533000
72003415054
oct465374030
9178586500
1081131544
114188436a
1223207160
1313a68440
14aabcc64
1571c8e99
hex4d5f818

81131544 has 80 divisors (see below), whose sum is σ = 244749120. Its totient is φ = 24960960.

The previous prime is 81131509. The next prime is 81131551. The reversal of 81131544 is 44513118.

It is a happy number.

81131544 is a `hidden beast` number, since 8 + 113 + 1 + 544 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3609 + ... + 13239.

It is an arithmetic number, because the mean of its divisors is an integer number (3059364).

Almost surely, 281131544 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 81131544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122374560).

81131544 is an abundant number, since it is smaller than the sum of its proper divisors (163617576).

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

81131544 is a wasteful number, since it uses less digits than its factorization.

81131544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9662 (or 9649 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 81131544 is about 9007.3050353588. The cubic root of 81131544 is about 432.9089657449.

The spelling of 81131544 in words is "eighty-one million, one hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 9631 19262 28893 38524 57786 77048 86679 115572 125203 173358 231144 250406 260037 346716 375609 500812 520074 693432 751218 780111 1001624 1040148 1126827 1502436 1560222 2080296 2253654 3004872 3120444 3380481 4507308 6240888 6760962 9014616 10141443 13521924 20282886 27043848 40565772 81131544