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9247053240 = 23325316783149
BaseRepresentation
bin10001001110010101…
…01101010110111000
3212212102221222100100
420213022231112320
5122414221200430
64125324235400
7445102440615
oct104712552670
925772858310
109247053240
113a157a1a67
12196099bb60
13b44a00649
1463a16550c
15391c2c960
hex2272ad5b8

9247053240 has 384 divisors, whose sum is σ = 32078592000. Its totient is φ = 2306810880.

The previous prime is 9247053229. The next prime is 9247053241. The reversal of 9247053240 is 423507429.

9247053240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9247053195 and 9247053204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9247053241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62060686 + ... + 62060834.

It is an arithmetic number, because the mean of its divisors is an integer number (83538000).

Almost surely, 29247053240 is an apocalyptic number.

9247053240 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 9247053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296000).

9247053240 is an abundant number, since it is smaller than the sum of its proper divisors (22831538760).

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

9247053240 is a wasteful number, since it uses less digits than its factorization.

9247053240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 9247053240 is about 96161.5996123193. The cubic root of 9247053240 is about 2098.9452935009.

The spelling of 9247053240 in words is "nine billion, two hundred forty-seven million, fifty-three thousand, two hundred forty".