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5128192 = 214313
BaseRepresentation
bin10011100100000000000000
3100122112120001
4103210000000
52303100232
6301525344
761405666
oct23440000
910575501
105128192
112992983
121873854
1310a7244
14976c36
156b46e7
hex4e4000

5128192 has 30 divisors (see below), whose sum is σ = 10288838. Its totient is φ = 2555904.

The previous prime is 5128153. The next prime is 5128213. The reversal of 5128192 is 2918215.

It can be written as a sum of positive squares in only one way, i.e., 2768896 + 2359296 = 1664^2 + 1536^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5128192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16228 + ... + 16540.

Almost surely, 25128192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144419).

5128192 is an abundant number, since it is smaller than the sum of its proper divisors (5160646).

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

5128192 is an frugal number, since it uses more digits than its factorization.

5128192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 315 counting only the distinct ones).

The product of its digits is 1440, while the sum is 28.

The square root of 5128192 is about 2264.5511696581. The cubic root of 5128192 is about 172.4466487675.

It can be divided in two parts, 512 and 8192, that multiplied together give a 22-nd power (4194304 = 222).

The spelling of 5128192 in words is "five million, one hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 313 512 626 1024 1252 2048 2504 4096 5008 8192 10016 16384 20032 40064 80128 160256 320512 641024 1282048 2564096 5128192