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2809056348 = 223472942709
BaseRepresentation
bin1010011101101110…
…1100110001011100
321020202201211220000
42213123230301130
521223104300343
61142423454300
7126416404440
oct24733546134
97222654800
102809056348
11121170367a
126648b7390
13359c7b427
141c9100820
15116927ed3
hexa76ecc5c

2809056348 has 120 divisors (see below), whose sum is σ = 8682088800. Its totient is φ = 774893952.

The previous prime is 2809056343. The next prime is 2809056389. The reversal of 2809056348 is 8436509082.

2809056348 is a `hidden beast` number, since 2 + 8 + 0 + 9 + 0 + 5 + 634 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2809056343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44418 + ... + 87126.

It is an arithmetic number, because the mean of its divisors is an integer number (72350740).

Almost surely, 22809056348 is an apocalyptic number.

2809056348 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 2809056348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341044400).

2809056348 is an abundant number, since it is smaller than the sum of its proper divisors (5873032452).

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

2809056348 is a wasteful number, since it uses less digits than its factorization.

2809056348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42761 (or 42750 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2809056348 is about 53000.5315822398. The cubic root of 2809056348 is about 1410.9777012574.

The spelling of 2809056348 in words is "two billion, eight hundred nine million, fifty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 252 261 324 348 378 406 522 567 609 756 783 812 1044 1134 1218 1566 1827 2268 2349 2436 3132 3654 4698 5481 7308 9396 10962 16443 21924 32886 42709 65772 85418 128127 170836 256254 298963 384381 512508 597926 768762 896889 1153143 1195852 1238561 1537524 1793778 2306286 2477122 2690667 3459429 3587556 3715683 4612572 4954244 5381334 6918858 7431366 8072001 8669927 10762668 11147049 13837716 14862732 16144002 17339854 22294098 24216003 26009781 32288004 33441147 34679708 44588196 48432006 52019562 66882294 78029343 96864012 100323441 104039124 133764588 156058686 200646882 234088029 312117372 401293764 468176058 702264087 936352116 1404528174 2809056348