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2813030208 = 263660293
BaseRepresentation
bin1010011110101011…
…0110111101000000
321021001012202000000
42213222312331000
521230113431313
61143045000000
7126465235152
oct24752667500
97231182000
102813030208
11121397825a
126660b3000
1335aa40121
141c9856ad2
15116e60673
hexa7ab6f40

2813030208 has 98 divisors (see below), whose sum is σ = 8369470434. Its totient is φ = 937661184.

The previous prime is 2813030197. The next prime is 2813030257. The reversal of 2813030208 is 8020303182.

It can be written as a sum of positive squares in only one way, i.e., 2217279744 + 595750464 = 47088^2 + 24408^2 .

It is a super-2 number, since 2×28130302082 = 15826277902241046528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 16510 + ... + 76802.

Almost surely, 22813030208 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 2813030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184735217).

2813030208 is an abundant number, since it is smaller than the sum of its proper divisors (5556440226).

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

2813030208 is an frugal number, since it uses more digits than its factorization.

2813030208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60323 (or 60298 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2813030208 is about 53038.0072023827. The cubic root of 2813030208 is about 1411.6427390514.

The spelling of 2813030208 in words is "two billion, eight hundred thirteen million, thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 60293 120586 180879 241172 361758 482344 542637 723516 964688 1085274 1447032 1627911 1929376 2170548 2894064 3255822 3858752 4341096 4883733 5788128 6511644 8682192 9767466 11576256 13023288 14651199 17364384 19534932 26046576 29302398 34728768 39069864 43953597 52093152 58604796 78139728 87907194 104186304 117209592 156279456 175814388 234419184 312558912 351628776 468838368 703257552 937676736 1406515104 2813030208