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81950418 = 232111512741
BaseRepresentation
bin1001110001001…
…11011011010010
312201012111211200
410320213123102
5131434403133
612044252030
72013365334
oct470473322
9181174750
1081950418
1142293620
1223541016
1313c94094
14ac53454
1572db913
hex4e276d2

81950418 has 48 divisors (see below), whose sum is σ = 195054912. Its totient is φ = 24660000.

The previous prime is 81950411. The next prime is 81950419. The reversal of 81950418 is 81405918.

It is not an unprimeable number, because it can be changed into a prime (81950411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28528 + ... + 31268.

It is an arithmetic number, because the mean of its divisors is an integer number (4063644).

Almost surely, 281950418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81950418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97527456).

81950418 is an abundant number, since it is smaller than the sum of its proper divisors (113104494).

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

81950418 is a wasteful number, since it uses less digits than its factorization.

81950418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 81950418 is about 9052.6470162047. The cubic root of 81950418 is about 434.3605666615.

The spelling of 81950418 in words is "eighty-one million, nine hundred fifty thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 198 302 453 906 1359 1661 2718 2741 3322 4983 5482 8223 9966 14949 16446 24669 29898 30151 49338 60302 90453 180906 271359 413891 542718 827782 1241673 2483346 3725019 4552801 7450038 9105602 13658403 27316806 40975209 81950418