Search a number
-
+
2139217248 = 253729313541
BaseRepresentation
bin111111110000001…
…1101110101100000
312112002022111101110
41333200131311200
513340114422443
6552134503320
7104004021660
oct17740356540
95462274343
102139217248
119a8594643
124b8504b40
1328126c32c
141641781a0
15c7c12233
hex7f81dd60

2139217248 has 192 divisors, whose sum is σ = 6855045120. Its totient is φ = 570931200.

The previous prime is 2139217247. The next prime is 2139217303. The reversal of 2139217248 is 8427129312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139217243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602358 + ... + 605898.

It is an arithmetic number, because the mean of its divisors is an integer number (35703360).

Almost surely, 22139217248 is an apocalyptic number.

2139217248 is a gapful number since it is divisible by the number (28) 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 2139217248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427522560).

2139217248 is an abundant number, since it is smaller than the sum of its proper divisors (4715827872).

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

2139217248 is a wasteful number, since it uses less digits than its factorization.

2139217248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3613 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 2139217248 is about 46251.6729210955. The cubic root of 2139217248 is about 1288.5016049692.

The spelling of 2139217248 in words is "two billion, one hundred thirty-nine million, two hundred seventeen thousand, two hundred forty-eight".