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5322882240 = 2632513178363
BaseRepresentation
bin1001111010100010…
…01011110011000000
3111201221221102201200
410331101023303000
541400124212430
62240103501200
7245622516054
oct47521136300
914657842650
105322882240
1122916a0235
121046757800
1366aa0b980
14386d0dc64
15212485460
hex13d44bcc0

5322882240 has 336 divisors, whose sum is σ = 20879153568. Its totient is φ = 1233027072.

The previous prime is 5322882239. The next prime is 5322882269. The reversal of 5322882240 is 422882235.

5322882240 is a `hidden beast` number, since 532 + 2 + 8 + 82 + 2 + 40 = 666.

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 = 5322882195 and 5322882204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632299 + ... + 640661.

It is an arithmetic number, because the mean of its divisors is an integer number (62140338).

Almost surely, 25322882240 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 5322882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439576784).

5322882240 is an abundant number, since it is smaller than the sum of its proper divisors (15556271328).

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

5322882240 is a wasteful number, since it uses less digits than its factorization.

5322882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5322882240 is about 72958.0855011972. The cubic root of 5322882240 is about 1746.0189493423.

The spelling of 5322882240 in words is "five billion, three hundred twenty-two million, eight hundred eighty-two thousand, two hundred forty".