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2002083252 = 2231347273061
BaseRepresentation
bin111011101010101…
…0101110110110100
312011112021100220120
41313111111312310
513100013131002
6530355331540
7100420266261
oct16725256664
95145240816
102002083252
1193813a864
1247a5b0bb0
1325ba26660
1414dc7c268
15bab74cbc
hex77555db4

2002083252 has 48 divisors (see below), whose sum is σ = 5137934592. Its totient is φ = 602916480.

The previous prime is 2002083247. The next prime is 2002083271. The reversal of 2002083252 is 2523802002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129199 + ... + 143862.

It is an arithmetic number, because the mean of its divisors is an integer number (107040304).

Almost surely, 22002083252 is an apocalyptic number.

It is an amenable number.

2002083252 is an abundant number, since it is smaller than the sum of its proper divisors (3135851340).

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

2002083252 is a wasteful number, since it uses less digits than its factorization.

2002083252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273128 (or 273126 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2002083252 is about 44744.6449533349. The cubic root of 2002083252 is about 1260.3583536022.

Adding to 2002083252 its reverse (2523802002), we get a palindrome (4525885254).

The spelling of 2002083252 in words is "two billion, two million, eighty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 7332 273061 546122 819183 1092244 1638366 3276732 3549793 7099586 10649379 12833867 14199172 21298758 25667734 38501601 42597516 51335468 77003202 154006404 166840271 333680542 500520813 667361084 1001041626 2002083252