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83820016 = 2477331021
BaseRepresentation
bin1001111111011…
…11110111110000
312211201111110001
410333233313300
5132424220031
612152315344
72035313140
oct477576760
9184644401
1083820016
1143350245
12240a2b54
131449a057
14b1bc920
15755a861
hex4fefdf0

83820016 has 40 divisors (see below), whose sum is σ = 186036704. Its totient is φ = 35838720.

The previous prime is 83819993. The next prime is 83820049. The reversal of 83820016 is 61002838.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81586 + ... + 82606.

Almost surely, 283820016 is an apocalyptic number.

It is an amenable number.

83820016 is an abundant number, since it is smaller than the sum of its proper divisors (102216688).

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

83820016 is a wasteful number, since it uses less digits than its factorization.

83820016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 83820016 is about 9155.3271924055. The cubic root of 83820016 is about 437.6388953281.

The spelling of 83820016 in words is "eighty-three million, eight hundred twenty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 733 1021 1466 2042 2932 4084 5131 5864 7147 8168 10262 11728 14294 16336 20524 28588 41048 57176 82096 114352 748393 1496786 2993572 5238751 5987144 10477502 11974288 20955004 41910008 83820016