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8240894480 = 2457213237989
BaseRepresentation
bin1111010110011001…
…00001001000010000
3210021022200211000002
413223030201020100
5113334132110410
63441422545132
7411134306300
oct75314411020
923238624002
108240894480
113549851aa5
12171ba381a8
13a14418130
14582693600
153337317a5
hex1eb321210

8240894480 has 480 divisors, whose sum is σ = 25648358400. Its totient is φ = 2435457024.

The previous prime is 8240894477. The next prime is 8240894489. The reversal of 8240894480 is 844980428.

It is not an unprimeable number, because it can be changed into a prime (8240894489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92594276 + ... + 92594364.

It is an arithmetic number, because the mean of its divisors is an integer number (53434080).

Almost surely, 28240894480 is an apocalyptic number.

8240894480 is a gapful number since it is divisible by the number (80) 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 8240894480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12824179200).

8240894480 is an abundant number, since it is smaller than the sum of its proper divisors (17407463920).

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

8240894480 is a wasteful number, since it uses less digits than its factorization.

8240894480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The square root of 8240894480 is about 90779.3725468512. The cubic root of 8240894480 is about 2019.8763509582.

The spelling of 8240894480 in words is "eight billion, two hundred forty million, eight hundred ninety-four thousand, four hundred eighty".