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81159648 = 2533773313
BaseRepresentation
bin1001101011001…
…10010111100000
312122201100002220
410311212113200
5131234102043
612015311040
72003563023
oct465462740
9178640086
1081159648
11418a3499
122321b480
1313a7817b
14aac91ba
1571d2483
hex4d665e0

81159648 has 96 divisors (see below), whose sum is σ = 222507936. Its totient is φ = 25878528.

The previous prime is 81159587. The next prime is 81159653. The reversal of 81159648 is 84695118.

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

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 15 ways as a sum of consecutive naturals, for example, 259140 + ... + 259452.

It is an arithmetic number, because the mean of its divisors is an integer number (2317791).

Almost surely, 281159648 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 81159648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111253968).

81159648 is an abundant number, since it is smaller than the sum of its proper divisors (141348288).

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

81159648 is a wasteful number, since it uses less digits than its factorization.

81159648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 81159648 is about 9008.8649673530. The cubic root of 81159648 is about 432.9589465884.

The spelling of 81159648 in words is "eighty-one million, one hundred fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 73 74 96 111 146 148 219 222 292 296 313 438 444 584 592 626 876 888 939 1168 1184 1252 1752 1776 1878 2336 2504 2701 3504 3552 3756 5008 5402 7008 7512 8103 10016 10804 11581 15024 16206 21608 22849 23162 30048 32412 34743 43216 45698 46324 64824 68547 69486 86432 91396 92648 129648 137094 138972 182792 185296 259296 274188 277944 365584 370592 548376 555888 731168 845413 1096752 1111776 1690826 2193504 2536239 3381652 5072478 6763304 10144956 13526608 20289912 27053216 40579824 81159648