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83800002 = 23112132683
BaseRepresentation
bin1001111111010…
…10111111000010
312211200110222210
410333222333002
5132423100002
612152042550
72035200606
oct477527702
9184613883
1083800002
1143337200
1224093456
1314490c00
14b1b5506
15755496c
hex4feafc2

83800002 has 72 divisors (see below), whose sum is σ = 199774512. Its totient is φ = 23406240.

The previous prime is 83799983. The next prime is 83800007. The reversal of 83800002 is 20000838.

It is not an unprimeable number, because it can be changed into a prime (83800007) 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 35 ways as a sum of consecutive naturals, for example, 122353 + ... + 123035.

It is an arithmetic number, because the mean of its divisors is an integer number (2774646).

Almost surely, 283800002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83800002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99887256).

83800002 is an abundant number, since it is smaller than the sum of its proper divisors (115974510).

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

83800002 is a wasteful number, since it uses less digits than its factorization.

83800002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 83800002 is about 9154.2341023157. The cubic root of 83800002 is about 437.6040603627.

The spelling of 83800002 in words is "eighty-three million, eight hundred thousand, two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 169 242 286 338 363 429 507 683 726 858 1014 1366 1573 1859 2049 3146 3718 4098 4719 5577 7513 8879 9438 11154 15026 17758 20449 22539 26637 40898 45078 53274 61347 82643 97669 115427 122694 165286 195338 230854 247929 293007 346281 495858 586014 692562 1074359 1269697 2148718 2539394 3223077 3809091 6446154 7618182 13966667 27933334 41900001 83800002