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81141544 = 23111773743
BaseRepresentation
bin1001101011000…
…01111100101000
312122200102021101
410311201330220
5131233012134
612015051144
72003456161
oct465417450
9178612241
1081141544
1141890930
1223210ab4
1313a6cb63
14aac2768
1571cbe14
hex4d61f28

81141544 has 64 divisors (see below), whose sum is σ = 178381440. Its totient is φ = 34191360.

The previous prime is 81141509. The next prime is 81141581. The reversal of 81141544 is 44514118.

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 15 ways as a sum of consecutive naturals, for example, 108837 + ... + 109579.

It is an arithmetic number, because the mean of its divisors is an integer number (2787210).

Almost surely, 281141544 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 81141544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89190720).

81141544 is an abundant number, since it is smaller than the sum of its proper divisors (97239896).

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

81141544 is a wasteful number, since it uses less digits than its factorization.

81141544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 81141544 is about 9007.8601232479. The cubic root of 81141544 is about 432.9267513130.

The spelling of 81141544 in words is "eighty-one million, one hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 73 88 136 146 187 292 374 584 743 748 803 1241 1486 1496 1606 2482 2972 3212 4964 5944 6424 8173 9928 12631 13651 16346 25262 27302 32692 50524 54239 54604 65384 101048 108478 109208 138941 216956 277882 433912 555764 596629 922063 1111528 1193258 1844126 2386516 3688252 4773032 7376504 10142693 20285386 40570772 81141544