Search a number
-
+
5289475968 = 273271922379
BaseRepresentation
bin1001110110100011…
…01111111110000000
3111122122002012221100
410323101233332000
541313101212333
62232511454400
7245035542510
oct47321577600
914578065840
105289475968
112274853647
121037527400
13663b1344a
143826d5840
1520e587213
hex13b46ff80

5289475968 has 576 divisors, whose sum is σ = 19399910400. Its totient is φ = 1352153088.

The previous prime is 5289475963. The next prime is 5289475973. The reversal of 5289475968 is 8695749825.

5289475968 is a `hidden beast` number, since 528 + 9 + 47 + 5 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (5289475963) and next prime (5289475973).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5289475963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66955353 + ... + 66955431.

It is an arithmetic number, because the mean of its divisors is an integer number (33680400).

Almost surely, 25289475968 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 5289475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9699955200).

5289475968 is an abundant number, since it is smaller than the sum of its proper divisors (14110434432).

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

5289475968 is a wasteful number, since it uses less digits than its factorization.

5289475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 133 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 5289475968 is about 72728.7836279420. The cubic root of 5289475968 is about 1742.3586245921.

The spelling of 5289475968 in words is "five billion, two hundred eighty-nine million, four hundred seventy-five thousand, nine hundred sixty-eight".