Search a number
-
+
8078197248 = 293211315397
BaseRepresentation
bin1111000010111111…
…11000001000000000
3202211222112221100200
413201133320020000
5113021004302443
63413331445200
7404120354322
oct74137701000
922758487320
108078197248
113475a28180
121695456800
139b97c1a94
14568c21612
153242e4dd3
hex1e17f8200

8078197248 has 480 divisors, whose sum is σ = 27025270272. Its totient is φ = 2300313600.

The previous prime is 8078197247. The next prime is 8078197249. The reversal of 8078197248 is 8427918708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8078197247) and next prime (8078197249).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8078197194 and 8078197203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8078197247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83280336 + ... + 83280432.

Almost surely, 28078197248 is an apocalyptic number.

8078197248 is a gapful number since it is divisible by the number (88) 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 8078197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512635136).

8078197248 is an abundant number, since it is smaller than the sum of its proper divisors (18947073024).

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

8078197248 is a wasteful number, since it uses less digits than its factorization.

8078197248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 8078197248 is about 89878.7919812010. The cubic root of 8078197248 is about 2006.4953199070.

The spelling of 8078197248 in words is "eight billion, seventy-eight million, one hundred ninety-seven thousand, two hundred forty-eight".