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83875484 = 227111783193
BaseRepresentation
bin1001111111111…
…01011010011100
312211211022112102
410333331122130
5132433003414
612153424232
72035633640
oct477753234
9184738472
1083875484
1143388990
122410b078
13144b9384
14b1d4c20
15756bede
hex4ffd69c

83875484 has 96 divisors (see below), whose sum is σ = 197116416. Its totient is φ = 30228480.

The previous prime is 83875459. The next prime is 83875507. The reversal of 83875484 is 48457838.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434492 + ... + 434684.

It is an arithmetic number, because the mean of its divisors is an integer number (2053296).

Almost surely, 283875484 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 83875484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98558208).

83875484 is an abundant number, since it is smaller than the sum of its proper divisors (113240932).

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

83875484 is a wasteful number, since it uses less digits than its factorization.

83875484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its digits is 860160, while the sum is 47.

The square root of 83875484 is about 9158.3559660018. The cubic root of 83875484 is about 437.7354100697.

It can be divided in two parts, 838754 and 84, that added together give a palindrome (838838).

The spelling of 83875484 in words is "eighty-three million, eight hundred seventy-five thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 83 119 154 166 187 193 238 308 332 374 386 476 581 748 772 913 1162 1309 1351 1411 1826 2123 2324 2618 2702 2822 3281 3652 4246 5236 5404 5644 6391 6562 8492 9877 12782 13124 14861 15521 16019 19754 22967 25564 29722 31042 32038 36091 39508 45934 59444 62084 64076 72182 91868 108647 112133 144364 176209 217294 224266 252637 272323 352418 434588 448532 505274 544646 704836 1010548 1089292 1233463 1906261 2466926 2995553 3812522 4933852 5991106 7625044 11982212 20968871 41937742 83875484