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9255997440 = 21233519881
BaseRepresentation
bin10001001111011001…
…10101000000000000
3212220001210101111000
420213230311000000
5122424013404230
64130244052000
7445241452164
oct104754650000
925801711430
109255997440
113a1a850968
121963994000
13b46812781
1463b412ca4
153928e7b60
hex227b35000

9255997440 has 416 divisors, whose sum is σ = 34677417600. Its totient is φ = 2335703040.

The previous prime is 9255997417. The next prime is 9255997447. The reversal of 9255997440 is 447995529.

9255997440 is a `hidden beast` number, since 9 + 2 + 5 + 599 + 7 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9255997447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10505800 + ... + 10506680.

Almost surely, 29255997440 is an apocalyptic number.

9255997440 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 9255997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338708800).

9255997440 is an abundant number, since it is smaller than the sum of its proper divisors (25421420160).

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

9255997440 is a wasteful number, since it uses less digits than its factorization.

9255997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 9255997440 is about 96208.0944619526. The cubic root of 9255997440 is about 2099.6218094465.

The spelling of 9255997440 in words is "nine billion, two hundred fifty-five million, nine hundred ninety-seven thousand, four hundred forty".