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83942244 = 22345092
BaseRepresentation
bin1010000000011…
…01101101100100
312211221201010000
411000031231210
5132442122434
612155101300
72036332401
oct500155544
9184851100
1083942244
1143424061
1224141830
1314510889
14b2112a8
157581b99
hex500db64

83942244 has 45 divisors (see below), whose sum is σ = 219873577. Its totient is φ = 27925776.

The previous prime is 83942237. The next prime is 83942263. The reversal of 83942244 is 44224938.

The square root of 83942244 is 9162.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 68260644 + 15681600 = 8262^2 + 3960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83942199 and 83942208.

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 14 ways as a sum of consecutive naturals, for example, 164662 + ... + 165170.

Almost surely, 283942244 is an apocalyptic number.

83942244 is the 9162-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83942244

83942244 is an abundant number, since it is smaller than the sum of its proper divisors (135931333).

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

83942244 is an equidigital number, since it uses as much as digits as its factorization.

83942244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 514 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 83942244 is about 437.8515165674.

Multiplying 83942244 by its sum of digits (36), we get a square (3021920784 = 549722).

83942244 divided by its sum of digits (36) gives a square (2331729 = 15272).

The spelling of 83942244 in words is "eighty-three million, nine hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 509 1018 1527 2036 3054 4581 6108 9162 13743 18324 27486 41229 54972 82458 164916 259081 518162 777243 1036324 1554486 2331729 3108972 4663458 6995187 9326916 13990374 20985561 27980748 41971122 83942244