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2002413252 = 223726179109
BaseRepresentation
bin111011101011010…
…0110011011000100
312011112220010120210
41313112212123010
513100104211002
6530410355420
7100423142340
oct16726463304
95145803523
102002413252
11938345794
1247a72bb70
1325bb10918
1414dd26620
15babdc96c
hex775a66c4

2002413252 has 48 divisors (see below), whose sum is σ = 5342395520. Its totient is φ = 571836672.

The previous prime is 2002413251. The next prime is 2002413271. The reversal of 2002413252 is 2523142002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2002413251) 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, 215274 + ... + 224382.

Almost surely, 22002413252 is an apocalyptic number.

It is an amenable number.

2002413252 is an abundant number, since it is smaller than the sum of its proper divisors (3339982268).

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

2002413252 is a wasteful number, since it uses less digits than its factorization.

2002413252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11740 (or 11738 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2002413252 is about 44748.3323935094. The cubic root of 2002413252 is about 1260.4275973773.

Adding to 2002413252 its reverse (2523142002), we get a palindrome (4525555254).

The spelling of 2002413252 in words is "two billion, two million, four hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2617 5234 7851 9109 10468 15702 18218 18319 27327 31404 36436 36638 54654 54957 63763 73276 109308 109914 127526 191289 219828 255052 382578 765156 23838253 47676506 71514759 95353012 143029518 166867771 286059036 333735542 500603313 667471084 1001206626 2002413252