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5488320240 = 243751319127
BaseRepresentation
bin1010001110010000…
…10001111011110000
3112011111020120000000
411013020101323300
542220002221430
62304333430000
7253001644434
oct50710217360
915144216000
105488320240
112367017257
12109203b300
13696084690
143a0c969c4
15221c63e60
hex147211ef0

5488320240 has 640 divisors, whose sum is σ = 21865267200. Its totient is φ = 1269789696.

The previous prime is 5488320199. The next prime is 5488320241. The reversal of 5488320240 is 420238845.

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 = 5488320195 and 5488320204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5488320241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43215057 + ... + 43215183.

It is an arithmetic number, because the mean of its divisors is an integer number (34164480).

Almost surely, 25488320240 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 5488320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10932633600).

5488320240 is an abundant number, since it is smaller than the sum of its proper divisors (16376946960).

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

5488320240 is a wasteful number, since it uses less digits than its factorization.

5488320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

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

The square root of 5488320240 is about 74083.1980951147. The cubic root of 5488320240 is about 1763.9237784642.

The spelling of 5488320240 in words is "five billion, four hundred eighty-eight million, three hundred twenty thousand, two hundred forty".