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9040487040 = 2732513157769
BaseRepresentation
bin10000110101101101…
…01110001010000000
3212100001021022210100
420122312232022000
5122003331041130
64053025002400
7440013605034
oct103266561200
925301238710
109040487040
11391a1347a2
121903783400
13b10c87720
1461a9541c4
1537da27c60
hex21adae280

9040487040 has 384 divisors, whose sum is σ = 33877443600. Its totient is φ = 2208301056.

The previous prime is 9040487039. The next prime is 9040487041. The reversal of 9040487040 is 407840409.

It is an interprime number because it is at equal distance from previous prime (9040487039) and next prime (9040487041).

It can be written as a sum of positive squares in 8 ways, for example, as 1108090944 + 7932396096 = 33288^2 + 89064^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 = 9040486986 and 9040487004.

It is not an unprimeable number, because it can be changed into a prime (9040487041) 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, 11755776 + ... + 11756544.

Almost surely, 29040487040 is an apocalyptic number.

9040487040 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 9040487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16938721800).

9040487040 is an abundant number, since it is smaller than the sum of its proper divisors (24836956560).

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

9040487040 is a wasteful number, since it uses less digits than its factorization.

9040487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 9040487040 is about 95081.4757983909. The cubic root of 9040487040 is about 2083.1982848068.

The spelling of 9040487040 in words is "nine billion, forty million, four hundred eighty-seven thousand, forty".