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9390000480 = 253572923323
BaseRepresentation
bin10001011111011000…
…00000100101100000
3220020101221110002120
420233230000211200
5123212320003410
64151432144240
7451456454460
oct105754004540
926211843076
109390000480
113a89457383
1219a0838080
13b68500303
14651135ba0
1539e567570
hex22fb00960

9390000480 has 288 divisors, whose sum is σ = 35020387584. Its totient is φ = 2071652352.

The previous prime is 9390000457. The next prime is 9390000497. The reversal of 9390000480 is 840000939.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2824099 + ... + 2827421.

It is an arithmetic number, because the mean of its divisors is an integer number (121598568).

Almost surely, 29390000480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9390000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510193792).

9390000480 is an abundant number, since it is smaller than the sum of its proper divisors (25630387104).

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

9390000480 is a wasteful number, since it uses less digits than its factorization.

9390000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 9390000480 is about 96902.0148397339. The cubic root of 9390000480 is about 2109.7056768478.

The spelling of 9390000480 in words is "nine billion, three hundred ninety million, four hundred eighty", and thus it is an aban number.