Search a number
-
+
5428021248 = 2113513839
BaseRepresentation
bin1010000111000100…
…10000100000000000
3112000021210001100000
411003202100200000
542104033134443
62254341200000
7251340263556
oct50342204000
915007701300
105428021248
112335a81781
121075a00000
136867315c0
14396c7bbd6
1521b8028d3
hex143890800

5428021248 has 288 divisors, whose sum is σ = 17529220800. Its totient is φ = 1668169728.

The previous prime is 5428021243. The next prime is 5428021253. The reversal of 5428021248 is 8421208245.

It is an interprime number because it is at equal distance from previous prime (5428021243) and next prime (5428021253).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5428021243) 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, 6469213 + ... + 6470051.

It is an arithmetic number, because the mean of its divisors is an integer number (60865350).

Almost surely, 25428021248 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 5428021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8764610400).

5428021248 is an abundant number, since it is smaller than the sum of its proper divisors (12101199552).

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

5428021248 is an equidigital number, since it uses as much as digits as its factorization.

5428021248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 5428021248 is about 73675.1060263913. The cubic root of 5428021248 is about 1757.4400247976.

The spelling of 5428021248 in words is "five billion, four hundred twenty-eight million, twenty-one thousand, two hundred forty-eight".