Search a number
-
+
4292444160 = 2153254171
BaseRepresentation
bin1111111111011001…
…1000000000000000
3102002010222202102100
43333312120000000
532242331203120
61545533550400
7211241113314
oct37766300000
912063882370
104292444160
111902a77914
129b9645400
135353a52b4
142ca11bb44
151a1c90490
hexffd98000

4292444160 has 384 divisors, whose sum is σ = 15457871520. Its totient is φ = 1101004800.

The previous prime is 4292444159. The next prime is 4292444173. The reversal of 4292444160 is 614442924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60456925 + ... + 60456995.

Almost surely, 24292444160 is an apocalyptic number.

4292444160 is a gapful number since it is divisible by the number (40) 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 4292444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728935760).

4292444160 is an abundant number, since it is smaller than the sum of its proper divisors (11165427360).

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

4292444160 is an equidigital number, since it uses as much as digits as its factorization.

4292444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4292444160 is about 65516.7471720018. The cubic root of 4292444160 is about 1625.1803078821.

The spelling of 4292444160 in words is "four billion, two hundred ninety-two million, four hundred forty-four thousand, one hundred sixty".