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2904004512 = 253271142019
BaseRepresentation
bin1010110100010111…
…1001011110100000
321111101101201021200
42231011321132200
521421411121022
61200054521200
7131651426313
oct25505713640
97441351250
102904004512
111260264632
12690666200
13373843686
141d797897a
1511ee30bac
hexad1797a0

2904004512 has 72 divisors (see below), whose sum is σ = 8374635360. Its totient is φ = 954360960.

The previous prime is 2904004511. The next prime is 2904004547. The reversal of 2904004512 is 2154004092.

2904004512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2904004511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50562 + ... + 91457.

It is an arithmetic number, because the mean of its divisors is an integer number (116314380).

Almost surely, 22904004512 is an apocalyptic number.

It is an amenable number.

2904004512 is an abundant number, since it is smaller than the sum of its proper divisors (5470630848).

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

2904004512 is a wasteful number, since it uses less digits than its factorization.

2904004512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142106 (or 142095 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2904004512 is about 53888.8162052202. The cubic root of 2904004512 is about 1426.6992368415.

The spelling of 2904004512 in words is "two billion, nine hundred four million, four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 142019 284038 426057 568076 852114 1136152 1278171 1704228 2272304 2556342 3408456 4544608 5112684 6816912 10083349 10225368 13633824 20166698 20450736 30250047 40333396 40901472 60500094 80666792 90750141 121000188 161333584 181500282 242000376 322667168 363000564 484000752 726001128 968001504 1452002256 2904004512