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2002004472 = 2331323412741
BaseRepresentation
bin111011101010100…
…0010100111111000
312011112010100211210
41313111002213320
513100003120342
6530353523120
7100416520506
oct16725024770
95145110753
102002004472
11938096656
1247a5734a0
1325b9c9840
1414dc5b676
15bab5b79c
hex775429f8

2002004472 has 64 divisors (see below), whose sum is σ = 5394281760. Its totient is φ = 615513600.

The previous prime is 2002004471. The next prime is 2002004489. The reversal of 2002004472 is 2744002002.

It is a super-3 number, since 3×20020044723 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002004471) 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, 729022 + ... + 731762.

Almost surely, 22002004472 is an apocalyptic number.

It is an amenable number.

2002004472 is an abundant number, since it is smaller than the sum of its proper divisors (3392277288).

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

2002004472 is a wasteful number, since it uses less digits than its factorization.

2002004472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2002004472 is about 44743.7646158658. The cubic root of 2002004472 is about 1260.3418220996.

Adding to 2002004472 its reverse (2744002002), we get a palindrome (4746006474).

The spelling of 2002004472 in words is "two billion, two million, four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 2341 2741 4682 5482 7023 8223 9364 10964 14046 16446 18728 21928 28092 30433 32892 35633 56184 60866 65784 71266 91299 106899 121732 142532 182598 213798 243464 285064 365196 427596 730392 855192 6416681 12833362 19250043 25666724 38500086 51333448 77000172 83416853 154000344 166833706 250250559 333667412 500501118 667334824 1001002236 2002004472