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83445036 = 223191392633
BaseRepresentation
bin1001111100101…
…00010100101100
312211000110001220
410332110110230
5132330220121
612140303340
72032161663
oct476242454
9184013056
1083445036
1143114544
1223b41b50
131439847c
14b121dda
1574d46c6
hex4f9452c

83445036 has 48 divisors (see below), whose sum is σ = 206505600. Its totient is φ = 26151552.

The previous prime is 83445031. The next prime is 83445041. The reversal of 83445036 is 63054438.

It is an interprime number because it is at equal distance from previous prime (83445031) and next prime (83445041).

It is a junction number, because it is equal to n+sod(n) for n = 83444988 and 83445006.

It is not an unprimeable number, because it can be changed into a prime (83445031) 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 15 ways as a sum of consecutive naturals, for example, 30376 + ... + 33008.

It is an arithmetic number, because the mean of its divisors is an integer number (4302200).

Almost surely, 283445036 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 83445036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103252800).

83445036 is an abundant number, since it is smaller than the sum of its proper divisors (123060564).

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

83445036 is a wasteful number, since it uses less digits than its factorization.

83445036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 83445036 is about 9134.8254498923. The cubic root of 83445036 is about 436.9853077672.

The spelling of 83445036 in words is "eighty-three million, four hundred forty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 278 417 556 834 1668 2633 2641 5266 5282 7899 7923 10532 10564 15798 15846 31596 31692 50027 100054 150081 200108 300162 365987 600324 731974 1097961 1463948 2195922 4391844 6953753 13907506 20861259 27815012 41722518 83445036