Search a number
-
+
5303427840 = 28325617547
BaseRepresentation
bin1001111000001101…
…11110001100000000
3111200121100001022100
410330012332030000
541330134142330
62234130510400
7245265251514
oct47406761400
914617301270
105303427840
112281712917
121040135400
136669899a9
143844c8144
152108e1060
hex13c1be300

5303427840 has 216 divisors, whose sum is σ = 18652587408. Its totient is φ = 1390878720.

The previous prime is 5303427803. The next prime is 5303427841. The reversal of 5303427840 is 487243035.

It is a happy number.

5303427840 is a `hidden beast` number, since 530 + 3 + 42 + 7 + 84 + 0 = 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 = 5303427795 and 5303427804.

It is not an unprimeable number, because it can be changed into a prime (5303427841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698947 + ... + 706493.

Almost surely, 25303427840 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 5303427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326293704).

5303427840 is an abundant number, since it is smaller than the sum of its proper divisors (13349159568).

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

5303427840 is a wasteful number, since it uses less digits than its factorization.

5303427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5303427840 is about 72824.6375892115. The cubic root of 5303427840 is about 1743.8891998177.

The spelling of 5303427840 in words is "five billion, three hundred three million, four hundred twenty-seven thousand, eight hundred forty".