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81950016 = 2631073989
BaseRepresentation
bin1001110001001…
…11010101000000
312201012111021210
410320213111000
5131434400031
612044250120
72013364221
oct470472500
9181174253
1081950016
1142293295
1223540940
1313c93b45
14ac53248
1572db746
hex4e27540

81950016 has 56 divisors (see below), whose sum is σ = 218907360. Its totient is φ = 27054592.

The previous prime is 81950003. The next prime is 81950039. The reversal of 81950016 is 61005918.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18550 + ... + 22538.

It is an arithmetic number, because the mean of its divisors is an integer number (3909060).

Almost surely, 281950016 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 81950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453680).

81950016 is an abundant number, since it is smaller than the sum of its proper divisors (136957344).

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

81950016 is a wasteful number, since it uses less digits than its factorization.

81950016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 81950016 is about 9052.6248127270. The cubic root of 81950016 is about 434.3598564222.

The spelling of 81950016 in words is "eighty-one million, nine hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 2568 3424 3989 5136 6848 7978 10272 11967 15956 20544 23934 31912 47868 63824 95736 127648 191472 255296 382944 426823 765888 853646 1280469 1707292 2560938 3414584 5121876 6829168 10243752 13658336 20487504 27316672 40975008 81950016