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5385719040 = 283513243193
BaseRepresentation
bin1010000010000001…
…11000110100000000
3111220100011212121120
411001000320310000
542012221002130
62250230352240
7250314566532
oct50100706400
914810155546
105385719040
112314109479
1210637bb680
1367aa3cc00
143913c9852
15217c48910
hex141038d00

5385719040 has 432 divisors, whose sum is σ = 19157447232. Its totient is φ = 1288175616.

The previous prime is 5385719039. The next prime is 5385719093. The reversal of 5385719040 is 409175835.

It is a junction number, because it is equal to n+sod(n) for n = 5385718983 and 5385719001.

It is a congruent number.

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, 27905184 + ... + 27905376.

Almost surely, 25385719040 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 5385719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9578723616).

5385719040 is an abundant number, since it is smaller than the sum of its proper divisors (13771728192).

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

5385719040 is a wasteful number, since it uses less digits than its factorization.

5385719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 5385719040 is about 73387.4583290633. The cubic root of 5385719040 is about 1752.8626930861.

The spelling of 5385719040 in words is "five billion, three hundred eighty-five million, seven hundred nineteen thousand, forty".