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81949980 = 22357414759
BaseRepresentation
bin1001110001001…
…11010100011100
312201012111020110
410320213110130
5131434344410
612044250020
72013364140
oct470472434
9181174213
1081949980
1142293262
1223540910
1313c93b18
14ac53220
1572db720
hex4e2751c

81949980 has 96 divisors (see below), whose sum is σ = 268692480. Its totient is φ = 18270720.

The previous prime is 81949963. The next prime is 81949981. The reversal of 81949980 is 8994918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81949981) 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 31 ways as a sum of consecutive naturals, for example, 14841 + ... + 19599.

It is an arithmetic number, because the mean of its divisors is an integer number (2798880).

Almost surely, 281949980 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 81949980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134346240).

81949980 is an abundant number, since it is smaller than the sum of its proper divisors (186742500).

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

81949980 is a wasteful number, since it uses less digits than its factorization.

81949980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 81949980 is about 9052.6228243532. The cubic root of 81949980 is about 434.3597928185.

The spelling of 81949980 in words is "eighty-one million, nine hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 4759 5740 8610 9518 14277 17220 19036 23795 28554 33313 47590 57108 66626 71385 95180 99939 133252 142770 166565 195119 199878 285540 333130 390238 399756 499695 585357 666260 780476 975595 999390 1170714 1365833 1951190 1998780 2341428 2731666 2926785 3902380 4097499 5463332 5853570 6829165 8194998 11707140 13658330 16389996 20487495 27316660 40974990 81949980