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3902288004 = 2232108396889
BaseRepresentation
bin1110100010011000…
…0011000010000100
3101001221211202210100
43220212003002010
530442441204004
61443115324100
7165462620646
oct35046030204
911057752710
103902288004
11172281580a
1290aa50630
134a25cc474
1429039a896
1517c8c3739
hexe8983084

3902288004 has 18 divisors (see below), whose sum is σ = 9864116990. Its totient is φ = 1300762656.

The previous prime is 3902287993. The next prime is 3902288023. The reversal of 3902288004 is 4008822093.

It can be written as a sum of positive squares in only one way, i.e., 3887771904 + 14516100 = 62352^2 + 3810^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 108396889 = 3902288004 / (3 + 9 + 0 + 2 + 2 + 8 + 8 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 3902288004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54198409 + ... + 54198480.

Almost surely, 23902288004 is an apocalyptic number.

It is an amenable number.

3902288004 is an abundant number, since it is smaller than the sum of its proper divisors (5961828986).

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

3902288004 is a wasteful number, since it uses less digits than its factorization.

3902288004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108396899 (or 108396894 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3902288004 is about 62468.2959908464. The cubic root of 3902288004 is about 1574.3686733508.

The spelling of 3902288004 in words is "three billion, nine hundred two million, two hundred eighty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 108396889 216793778 325190667 433587556 650381334 975572001 1300762668 1951144002 3902288004