[go: up one dir, main page]

Search a number
-
+
4128048 = 2432109263
BaseRepresentation
bin1111101111110100110000
321202201121200
433233310300
52024044143
6224251200
750042061
oct17576460
97681550
104128048
11236a511
121470b00
13b16c42
14796568
155681d3
hex3efd30

4128048 has 60 divisors (see below), whose sum is σ = 11703120. Its totient is φ = 1358208.

The previous prime is 4128041. The next prime is 4128049. The reversal of 4128048 is 8408214.

It is not an unprimeable number, because it can be changed into a prime (4128041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15565 + ... + 15827.

It is an arithmetic number, because the mean of its divisors is an integer number (195052).

Almost surely, 24128048 is an apocalyptic number.

4128048 is a gapful number since it is divisible by the number (48) 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 4128048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851560).

4128048 is an abundant number, since it is smaller than the sum of its proper divisors (7575072).

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

4128048 is a wasteful number, since it uses less digits than its factorization.

4128048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4128048 is about 2031.7598283262. The cubic root of 4128048 is about 160.4162080458.

It can be divided in two parts, 41280 and 48, that added together give a triangular number (41328 = T287).

The spelling of 4128048 in words is "four million, one hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 263 327 436 526 654 789 872 981 1052 1308 1578 1744 1962 2104 2367 2616 3156 3924 4208 4734 5232 6312 7848 9468 12624 15696 18936 28667 37872 57334 86001 114668 172002 229336 258003 344004 458672 516006 688008 1032012 1376016 2064024 4128048