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2812103248 = 243147711699
BaseRepresentation
bin1010011110011101…
…0100101001010000
321020222110122110011
42213213110221100
521224344300443
61143013044304
7126454324513
oct24747245120
97228418404
102812103248
1112133a4879
12665926694
1335a7a7226
141c9694d7a
15116d2ab9d
hexa79d4a50

2812103248 has 80 divisors (see below), whose sum is σ = 5828198400. Its totient is φ = 1312214400.

The previous prime is 2812103213. The next prime is 2812103251. The reversal of 2812103248 is 8423012182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654303 + ... + 1656001.

It is an arithmetic number, because the mean of its divisors is an integer number (72852480).

Almost surely, 22812103248 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 2812103248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914099200).

2812103248 is an abundant number, since it is smaller than the sum of its proper divisors (3016095152).

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

2812103248 is a wasteful number, since it uses less digits than its factorization.

2812103248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2812103248 is about 53029.2678433335. The cubic root of 2812103248 is about 1411.4876654577.

The spelling of 2812103248 in words is "two billion, eight hundred twelve million, one hundred three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 31 47 62 71 94 124 142 188 248 284 376 496 568 752 1136 1457 1699 2201 2914 3337 3398 4402 5828 6674 6796 8804 11656 13348 13592 17608 23312 26696 27184 35216 52669 53392 79853 103447 105338 120629 159706 206894 210676 241258 319412 413788 421352 482516 638824 827576 842704 965032 1277648 1655152 1930064 2475443 3739499 4950886 5669563 7478998 9901772 11339126 14957996 19803544 22678252 29915992 39607088 45356504 59831984 90713008 175756453 351512906 703025812 1406051624 2812103248