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9002973456 = 243279072
BaseRepresentation
bin10000110001001111…
…00111100100010000
3212020102200102211100
420120213213210100
5121414230122311
64045204544400
7436050004011
oct103047474420
925212612740
109002973456
1138aaa42234
1218b30b2100
13b06281839
1461598b008
1537a5b7a56
hex2189e7910

9002973456 has 45 divisors (see below), whose sum is σ = 25199008471. Its totient is φ = 3000611616.

The previous prime is 9002973437. The next prime is 9002973503. The reversal of 9002973456 is 6543792009.

It is a happy number.

The square root of 9002973456 is 94884.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1134655 + ... + 1142561.

Almost surely, 29002973456 is an apocalyptic number.

9002973456 is the 94884-th square number.

It is an amenable number.

9002973456 is an abundant number, since it is smaller than the sum of its proper divisors (16196035015).

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

9002973456 is an frugal number, since it uses more digits than its factorization.

9002973456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15828 (or 7912 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The cubic root of 9002973456 is about 2080.3128733002.

The spelling of 9002973456 in words is "nine billion, two million, nine hundred seventy-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7907 15814 23721 31628 47442 63256 71163 94884 126512 142326 189768 284652 379536 569304 1138608 62520649 125041298 187561947 250082596 375123894 500165192 562685841 750247788 1000330384 1125371682 1500495576 2250743364 3000991152 4501486728 9002973456