Search a number
-
+
5313325248 = 26377111729
BaseRepresentation
bin1001111001011001…
…01110100011000000
3111201021221220000000
410330230232203000
541340202401443
62235123000000
7245445343110
oct47454564300
914637856000
105313325248
1122872629a0
121043509000
13668a4394a
14385943040
152116e88d3
hex13cb2e8c0

5313325248 has 896 divisors, whose sum is σ = 21594470400. Its totient is φ = 1254113280.

The previous prime is 5313325153. The next prime is 5313325267. The reversal of 5313325248 is 8425233135.

5313325248 is a `hidden beast` number, since 531 + 3 + 32 + 52 + 48 = 666.

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 127 ways as a sum of consecutive naturals, for example, 183218098 + ... + 183218126.

Almost surely, 25313325248 is an apocalyptic number.

5313325248 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 5313325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10797235200).

5313325248 is an abundant number, since it is smaller than the sum of its proper divisors (16281145152).

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

5313325248 is a wasteful number, since it uses less digits than its factorization.

5313325248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5313325248 is about 72892.5596203069. The cubic root of 5313325248 is about 1744.9733575569.

The spelling of 5313325248 in words is "five billion, three hundred thirteen million, three hundred twenty-five thousand, two hundred forty-eight".