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84338757 = 3229323137
BaseRepresentation
bin1010000011011…
…10100001000101
312212200212000200
411001232201011
5133042320012
612211401113
72042603406
oct501564105
9185625020
1084338757
1143674a58
12242b3199
131461c1b9
14b2b59ad
15760e3dc
hex506e845

84338757 has 12 divisors (see below), whose sum is σ = 126023820. Its totient is φ = 54286848.

The previous prime is 84338743. The next prime is 84338759. The reversal of 84338757 is 75783348.

It can be written as a sum of positive squares in 2 ways, for example, as 64545156 + 19793601 = 8034^2 + 4449^2 .

It is not a de Polignac number, because 84338757 - 212 = 84334661 is a prime.

It is a super-2 number, since 2×843387572 = 14226051864610098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84338759) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 161308 + ... + 161829.

It is an arithmetic number, because the mean of its divisors is an integer number (10501985).

Almost surely, 284338757 is an apocalyptic number.

84338757 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

84338757 is a deficient number, since it is larger than the sum of its proper divisors (41685063).

84338757 is a wasteful number, since it uses less digits than its factorization.

84338757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323172 (or 323169 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 84338757 is about 9183.6135044981. The cubic root of 84338757 is about 438.5398516343.

The spelling of 84338757 in words is "eighty-four million, three hundred thirty-eight thousand, seven hundred fifty-seven".

Divisors: 1 3 9 29 87 261 323137 969411 2908233 9370973 28112919 84338757