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2086616352 = 253292233361
BaseRepresentation
bin111110001011111…
…0011110100100000
312101102100002112010
41330113303310200
513233133210402
6543015232520
7102464642412
oct17427636440
95342302463
102086616352
11980927827
124a2978740
132733b3142
1415b1a49b2
15c32c1a6c
hex7c5f3d20

2086616352 has 96 divisors (see below), whose sum is σ = 5693345280. Its totient is φ = 668344320.

The previous prime is 2086616341. The next prime is 2086616353. The reversal of 2086616352 is 2536166802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2086616352.

It is not an unprimeable number, because it can be changed into a prime (2086616353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 619152 + ... + 622512.

It is an arithmetic number, because the mean of its divisors is an integer number (59305680).

Almost surely, 22086616352 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 2086616352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846672640).

2086616352 is an abundant number, since it is smaller than the sum of its proper divisors (3606728928).

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

2086616352 is a wasteful number, since it uses less digits than its factorization.

2086616352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2086616352 is about 45679.4959691983. The cubic root of 2086616352 is about 1277.8529174067.

The spelling of 2086616352 in words is "two billion, eighty-six million, six hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 223 232 348 446 464 669 696 892 928 1338 1392 1784 2676 2784 3361 3568 5352 6467 6722 7136 10083 10704 12934 13444 19401 20166 21408 25868 26888 38802 40332 51736 53776 77604 80664 97469 103472 107552 155208 161328 194938 206944 292407 310416 322656 389876 584814 620832 749503 779752 1169628 1499006 1559504 2248509 2339256 2998012 3119008 4497018 4678512 5996024 8994036 9357024 11992048 17988072 21735587 23984096 35976144 43471174 65206761 71952288 86942348 130413522 173884696 260827044 347769392 521654088 695538784 1043308176 2086616352