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9268982640 = 24325312631579
BaseRepresentation
bin10001010000111100…
…10111001101110000
3212220222020002211100
420220132113031300
5122440324421030
64131430244400
7445460024001
oct105036271560
925828202740
109268982640
113a2710a935
1219681b6700
13b4940b018
1463d0331a8
15393b10360
hex228797370

9268982640 has 240 divisors, whose sum is σ = 32275077120. Its totient is φ = 2381391360.

The previous prime is 9268982603. The next prime is 9268982647. The reversal of 9268982640 is 462898629.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9268982647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5869371 + ... + 5870949.

It is an arithmetic number, because the mean of its divisors is an integer number (134479488).

Almost surely, 29268982640 is an apocalyptic number.

9268982640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9268982640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16137538560).

9268982640 is an abundant number, since it is smaller than the sum of its proper divisors (23006094480).

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

9268982640 is a wasteful number, since it uses less digits than its factorization.

9268982640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9268982640 is about 96275.5557761159. Note that the first 3 decimals coincide. The cubic root of 9268982640 is about 2100.6032008706.

The spelling of 9268982640 in words is "nine billion, two hundred sixty-eight million, nine hundred eighty-two thousand, six hundred forty".