Search a number
-
+
5325164208 = 243671329173
BaseRepresentation
bin1001111010110011…
…11000111010110000
3111202010020101000000
410331121320322300
541401220223313
62240224430000
7245651102040
oct47531707260
914663211000
105325164208
112292a09761
121047478300
1366b32a550
14387345720
15212786673
hex13d678eb0

5325164208 has 560 divisors, whose sum is σ = 19809357120. Its totient is φ = 1348171776.

The previous prime is 5325164189. The next prime is 5325164227. The reversal of 5325164208 is 8024615235.

5325164208 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 1 + 642 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5325164189) and next prime (5325164227).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30781210 + ... + 30781382.

It is an arithmetic number, because the mean of its divisors is an integer number (35373852).

Almost surely, 25325164208 is an apocalyptic number.

5325164208 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5325164208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904678560).

5325164208 is an abundant number, since it is smaller than the sum of its proper divisors (14484192912).

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

5325164208 is a wasteful number, since it uses less digits than its factorization.

5325164208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5325164208 is about 72973.7227226349. The cubic root of 5325164208 is about 1746.2684250930.

The spelling of 5325164208 in words is "five billion, three hundred twenty-five million, one hundred sixty-four thousand, two hundred eight".