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83781950 = 25271714081
BaseRepresentation
bin1001111111001…
…10100100111110
312211122120020012
410333212210332
5132422010300
612151423222
72035064150
oct477464476
9184576205
1083781950
114332468a
1224084b12
1314485925
14b1acad0
15754e435
hex4fe693e

83781950 has 48 divisors (see below), whose sum is σ = 188586144. Its totient is φ = 27033600.

The previous prime is 83781941. The next prime is 83781953. The reversal of 83781950 is 5918738.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83781898 and 83781907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83781953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091 + ... + 12990.

It is an arithmetic number, because the mean of its divisors is an integer number (3928878).

Almost surely, 283781950 is an apocalyptic number.

83781950 is an abundant number, since it is smaller than the sum of its proper divisors (104804194).

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

83781950 is a wasteful number, since it uses less digits than its factorization.

83781950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14117 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 83781950 is about 9153.2480573838. The cubic root of 83781950 is about 437.5726355591.

The spelling of 83781950 in words is "eighty-three million, seven hundred eighty-one thousand, nine hundred fifty".

Divisors: 1 2 5 7 10 14 17 25 34 35 50 70 85 119 170 175 238 350 425 595 850 1190 2975 5950 14081 28162 70405 98567 140810 197134 239377 352025 478754 492835 704050 985670 1196885 1675639 2393770 2464175 3351278 4928350 5984425 8378195 11968850 16756390 41890975 83781950