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83465512 = 23131722777
BaseRepresentation
bin1001111100110…
…01010100101000
312211001111011021
410332121110220
5132331344022
612140542224
72032305454
oct476312450
9184044137
1083465512
1143128969
1223b51974
13143a48a0
14b129664
1574da7c7
hex4f99528

83465512 has 48 divisors (see below), whose sum is σ = 179097660. Its totient is φ = 36243456.

The previous prime is 83465483. The next prime is 83465533. The reversal of 83465512 is 21556438.

It can be written as a sum of positive squares in 6 ways, for example, as 34269316 + 49196196 = 5854^2 + 7014^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28668 + ... + 31444.

Almost surely, 283465512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83465512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89548830).

83465512 is an abundant number, since it is smaller than the sum of its proper divisors (95632148).

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

83465512 is a wasteful number, since it uses less digits than its factorization.

83465512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2809 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 83465512 is about 9135.9461469516. The cubic root of 83465512 is about 437.0210477777.

The spelling of 83465512 in words is "eighty-three million, four hundred sixty-five thousand, five hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 578 884 1156 1768 2312 2777 3757 5554 7514 11108 15028 22216 30056 36101 47209 72202 94418 144404 188836 288808 377672 613717 802553 1227434 1605106 2454868 3210212 4909736 6420424 10433189 20866378 41732756 83465512