Search a number
-
+
5379608250 = 233533147547
BaseRepresentation
bin1010000001010011…
…00100111010111010
3111212220200102012000
411000221210322322
542004134431000
62245451401430
7250211626032
oct50051447272
914786612160
105379608250
112310715335
121061753276
136796b0663
143906788c2
1521743d000
hex140a64eba

5379608250 has 256 divisors, whose sum is σ = 15757148160. Its totient is φ = 1356264000.

The previous prime is 5379608249. The next prime is 5379608251. The reversal of 5379608250 is 528069735.

It is a happy number.

5379608250 is a `hidden beast` number, since 5 + 37 + 9 + 608 + 2 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5379608249) and next prime (5379608251).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5379608196 and 5379608205.

It is not an unprimeable number, because it can be changed into a prime (5379608251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9834477 + ... + 9835023.

It is an arithmetic number, because the mean of its divisors is an integer number (61551360).

Almost surely, 25379608250 is an apocalyptic number.

5379608250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5379608250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878574080).

5379608250 is an abundant number, since it is smaller than the sum of its proper divisors (10377539910).

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

5379608250 is a wasteful number, since it uses less digits than its factorization.

5379608250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5379608250 is about 73345.8127639199. The cubic root of 5379608250 is about 1752.1994929058.

The spelling of 5379608250 in words is "five billion, three hundred seventy-nine million, six hundred eight thousand, two hundred fifty".