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904072672 = 2532598669
BaseRepresentation
bin110101111000110…
…000110111100000
32100000011122120001
4311320300313200
53322420311142
6225413225344
731255330246
oct6570606740
92300148501
10904072672
114243641a8
12212932254
131153c1359
14880da796
15545835b7
hex35e30de0

904072672 has 24 divisors (see below), whose sum is σ = 1780644600. Its totient is φ = 451845504.

The previous prime is 904072669. The next prime is 904072679. The reversal of 904072672 is 276270409.

It is a happy number.

904072672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9040726723 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904072679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99954 + ... + 108622.

It is an arithmetic number, because the mean of its divisors is an integer number (74193525).

Almost surely, 2904072672 is an apocalyptic number.

It is an amenable number.

904072672 is a deficient number, since it is larger than the sum of its proper divisors (876571928).

904072672 is a wasteful number, since it uses less digits than its factorization.

904072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11938 (or 11930 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 904072672 is about 30067.8012498420. The cubic root of 904072672 is about 966.9435346977.

The spelling of 904072672 in words is "nine hundred four million, seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 3259 6518 8669 13036 17338 26072 34676 52144 69352 104288 138704 277408 28252271 56504542 113009084 226018168 452036336 904072672