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8490511888 = 242982922073
BaseRepresentation
bin1111110100001001…
…01110111000010000
3210220201101200201021
413322010232320100
5114342032340023
63522301045224
7420255105655
oct77204567020
923821350637
108490511888
113667744281
12178b556814
13a54055641
145a78adc2c
1534a5dc35d
hex1fa12ee10

8490511888 has 40 divisors (see below), whose sum is σ = 17038920600. Its totient is φ = 4093737984.

The previous prime is 8490511877. The next prime is 8490511889. The reversal of 8490511888 is 8881150948.

It can be written as a sum of positive squares in 4 ways, for example, as 3927779584 + 4562732304 = 62672^2 + 67548^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8490511889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373620 + ... + 395692.

It is an arithmetic number, because the mean of its divisors is an integer number (425973015).

Almost surely, 28490511888 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 8490511888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519460300).

8490511888 is an abundant number, since it is smaller than the sum of its proper divisors (8548408712).

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

8490511888 is a wasteful number, since it uses less digits than its factorization.

8490511888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22939 (or 22933 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 52.

The square root of 8490511888 is about 92143.9736933458. The cubic root of 8490511888 is about 2040.0679113622.

The spelling of 8490511888 in words is "eight billion, four hundred ninety million, five hundred eleven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 829 1658 3316 6632 13264 22073 24041 44146 48082 88292 96164 176584 192328 353168 384656 640117 1280234 2560468 5120936 10241872 18298517 36597034 73194068 146388136 292776272 530656993 1061313986 2122627972 4245255944 8490511888