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5255331840 = 21736511
BaseRepresentation
bin1001110010011111…
…00000000000000000
3111120020211112000000
410321033200000000
541230331104330
62225252000000
7244142404113
oct47117400000
914506745000
105255331840
112257552660
121028000000
13659a1a115
1437bd6857a
1520b590560
hex1393e0000

5255331840 has 504 divisors, whose sum is σ = 20629605528. Its totient is φ = 1274019840.

The previous prime is 5255331821. The next prime is 5255331881. The reversal of 5255331840 is 481335525.

5255331840 is a `hidden beast` number, since 52 + 553 + 3 + 18 + 40 = 666.

It is a super-3 number, since 3×52553318403 (a number of 30 digits) contains 333 as substring.

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 = 5255331795 and 5255331804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 477757435 + ... + 477757445.

It is an arithmetic number, because the mean of its divisors is an integer number (40931757).

Almost surely, 25255331840 is an apocalyptic number.

5255331840 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5255331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314802764).

5255331840 is an abundant number, since it is smaller than the sum of its proper divisors (15374273688).

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

5255331840 is an frugal number, since it uses more digits than its factorization.

5255331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5255331840 is about 72493.6675855209. The cubic root of 5255331840 is about 1738.6014921977.

The spelling of 5255331840 in words is "five billion, two hundred fifty-five million, three hundred thirty-one thousand, eight hundred forty".