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2812193888 = 25731731481
BaseRepresentation
bin1010011110011110…
…1010110001100000
321020222122020210012
42213213222301200
521224410201023
61143015024052
7126455153000
oct24747526140
97228566705
102812193888
111213456989
1266596b028
1335a80956a
141c96ba000
15116d47978
hexa79eac60

2812193888 has 96 divisors (see below), whose sum is σ = 6498273600. Its totient is φ = 1197450240.

The previous prime is 2812193837. The next prime is 2812193897. The reversal of 2812193888 is 8883912182.

It is a happy number.

2812193888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1898108 + ... + 1899588.

It is an arithmetic number, because the mean of its divisors is an integer number (67690350).

Almost surely, 22812193888 is an apocalyptic number.

2812193888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2812193888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249136800).

2812193888 is an abundant number, since it is smaller than the sum of its proper divisors (3686079712).

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

2812193888 is a wasteful number, since it uses less digits than its factorization.

2812193888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1663 counting only the distinct ones).

The product of its digits is 442368, while the sum is 50.

The square root of 2812193888 is about 53030.1224588441. The cubic root of 2812193888 is about 1411.5028303665.

The spelling of 2812193888 in words is "two billion, eight hundred twelve million, one hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 173 196 224 343 346 392 686 692 784 1211 1372 1384 1481 1568 2422 2744 2768 2962 4844 5488 5536 5924 8477 9688 10367 10976 11848 16954 19376 20734 23696 33908 38752 41468 47392 59339 67816 72569 82936 118678 135632 145138 165872 237356 256213 271264 290276 331744 474712 507983 512426 580552 949424 1015966 1024852 1161104 1793491 1898848 2031932 2049704 2322208 3586982 4063864 4099408 7173964 8127728 8198816 12554437 14347928 16255456 25108874 28695856 50217748 57391712 87881059 100435496 175762118 200870992 351524236 401741984 703048472 1406096944 2812193888