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8240869440 = 2632528310111
BaseRepresentation
bin1111010110011000…
…11011000001000000
3210021022122112122200
413223030123001000
5113334130310230
63441422233200
7411134143266
oct75314330100
923238575580
108240869440
113549835201
12171ba25800
13a1440990b
14582688436
15333729160
hex1eb31b040

8240869440 has 168 divisors, whose sum is σ = 28448130048. Its totient is φ = 2189583360.

The previous prime is 8240869369. The next prime is 8240869451. The reversal of 8240869440 is 449680428.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809985 + ... + 820095.

Almost surely, 28240869440 is an apocalyptic number.

8240869440 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 8240869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224065024).

8240869440 is an abundant number, since it is smaller than the sum of its proper divisors (20207260608).

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

8240869440 is a wasteful number, since it uses less digits than its factorization.

8240869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10417 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8240869440 is about 90779.2346299527. The cubic root of 8240869440 is about 2019.8743051546.

The spelling of 8240869440 in words is "eight billion, two hundred forty million, eight hundred sixty-nine thousand, four hundred forty".