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2002857393 = 319311133479
BaseRepresentation
bin111011101100001…
…0010110110110001
312011120201200211110
41313120102312301
513100212414033
6530424103533
7100430002245
oct16730226661
95146650743
102002857393
11938619449
1247a904ba9
1325bc37b24
14150000425
15bac79363
hex77612db1

2002857393 has 16 divisors (see below), whose sum is σ = 2901708800. Its totient is φ = 1224156240.

The previous prime is 2002857377. The next prime is 2002857403. The reversal of 2002857393 is 3937582002.

It is not a de Polignac number, because 2002857393 - 24 = 2002857377 is a prime.

It is a super-2 number, since 2×20028573932 = 8022875473389512898, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002857293) 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, 564973 + ... + 568506.

It is an arithmetic number, because the mean of its divisors is an integer number (181356800).

Almost surely, 22002857393 is an apocalyptic number.

It is an amenable number.

2002857393 is a deficient number, since it is larger than the sum of its proper divisors (898851407).

2002857393 is a wasteful number, since it uses less digits than its factorization.

2002857393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133532.

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2002857393 is about 44753.2947725640. The cubic root of 2002857393 is about 1260.5207793065.

It can be divided in two parts, 20028 and 57393, that added together give a triangular number (77421 = T393).

The spelling of 2002857393 in words is "two billion, two million, eight hundred fifty-seven thousand, three hundred ninety-three".

Divisors: 1 3 19 31 57 93 589 1767 1133479 3400437 21536101 35137849 64608303 105413547 667619131 2002857393