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83114052 = 22374124133
BaseRepresentation
bin1001111010000…
…11100001000100
312210101122001020
410331003201010
5132234122202
612125231140
72026313010
oct475034104
9183348036
1083114052
1142a088aa
1223a024b0
13142b0918
14b077540
15746b5bc
hex4f43844

83114052 has 48 divisors (see below), whose sum is σ = 227052672. Its totient is φ = 23166720.

The previous prime is 83114051. The next prime is 83114089. The reversal of 83114052 is 25041138.

It is not an unprimeable number, because it can be changed into a prime (83114051) 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 15 ways as a sum of consecutive naturals, for example, 8623 + ... + 15510.

It is an arithmetic number, because the mean of its divisors is an integer number (4730264).

Almost surely, 283114052 is an apocalyptic number.

83114052 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

83114052 is an abundant number, since it is smaller than the sum of its proper divisors (143938620).

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

83114052 is a wasteful number, since it uses less digits than its factorization.

83114052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24188 (or 24186 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 83114052 is about 9116.6908470124. The cubic root of 83114052 is about 436.4067760538.

The spelling of 83114052 in words is "eighty-three million, one hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 24133 48266 72399 96532 144798 168931 289596 337862 506793 675724 989453 1013586 1978906 2027172 2968359 3957812 5936718 6926171 11873436 13852342 20778513 27704684 41557026 83114052