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2812785052 = 2271129210859
BaseRepresentation
bin1010011110100111…
…1011000110011100
321021000202021201011
42213221323012130
521230033110202
61143035425004
7126463164340
oct24751730634
97230667634
102812785052
111213820050
12665bb5164
1335a98566c
141c97d1620
15116e12bd7
hexa7a7b19c

2812785052 has 72 divisors (see below), whose sum is σ = 6356488320. Its totient is φ = 1058003520.

The previous prime is 2812785049. The next prime is 2812785067. The reversal of 2812785052 is 2505872182.

It is a junction number, because it is equal to n+sod(n) for n = 2812784996 and 2812785014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253599 + ... + 264457.

It is an arithmetic number, because the mean of its divisors is an integer number (88284560).

Almost surely, 22812785052 is an apocalyptic number.

2812785052 is a gapful number since it is divisible by the number (22) 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 2812785052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178244160).

2812785052 is an abundant number, since it is smaller than the sum of its proper divisors (3543703268).

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

2812785052 is a wasteful number, since it uses less digits than its factorization.

2812785052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10939 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The square root of 2812785052 is about 53035.6960169281. The cubic root of 2812785052 is about 1411.6017295687.

The spelling of 2812785052 in words is "two billion, eight hundred twelve million, seven hundred eighty-five thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 841 1276 1682 2233 3364 4466 5887 8932 9251 10859 11774 18502 21718 23548 37004 43436 64757 76013 119449 129514 152026 238898 259028 304052 314911 477796 629822 836143 1259644 1672286 2204377 3344572 3464021 4408754 6928042 8817508 9132419 13856084 18264838 24248147 36529676 48496294 63926933 96992588 100456609 127853866 200913218 255707732 401826436 703196263 1406392526 2812785052