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84418416 = 2433195413
BaseRepresentation
bin1010000100000…
…01111101110000
312212211220022000
411002001331300
5133102342131
612213214000
72043354555
oct502017560
9185756260
1084418416
1143719895
1224331300
1314649534
14b2d6a2c
157627ce6
hex5081f70

84418416 has 40 divisors (see below), whose sum is σ = 242313360. Its totient is φ = 28139328.

The previous prime is 84418381. The next prime is 84418471. The reversal of 84418416 is 61481448.

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

It is a nude number because it is divisible by every one of its digits.

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, 97275 + ... + 98138.

It is an arithmetic number, because the mean of its divisors is an integer number (6057834).

Almost surely, 284418416 is an apocalyptic number.

It is an amenable number.

84418416 is an abundant number, since it is smaller than the sum of its proper divisors (157894944).

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

84418416 is a wasteful number, since it uses less digits than its factorization.

84418416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195430 (or 195418 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 84418416 is about 9187.9494992082. The cubic root of 84418416 is about 438.6778769607.

The spelling of 84418416 in words is "eighty-four million, four hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 195413 390826 586239 781652 1172478 1563304 1758717 2344956 3126608 3517434 4689912 5276151 7034868 9379824 10552302 14069736 21104604 28139472 42209208 84418416