Search a number
-
+
4800280 = 235412927
BaseRepresentation
bin10010010011111100011000
3100000212202011
4102103330120
52212102110
6250515304
755541662
oct22237430
910025664
104800280
112789581
121735b34
13cc0c04
148cd532
1564c48a
hex493f18

4800280 has 32 divisors (see below), whose sum is σ = 11067840. Its totient is φ = 1872640.

The previous prime is 4800253. The next prime is 4800281. The reversal of 4800280 is 820084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177 + ... + 3103.

It is an arithmetic number, because the mean of its divisors is an integer number (345870).

Almost surely, 24800280 is an apocalyptic number.

4800280 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 4800280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533920).

4800280 is an abundant number, since it is smaller than the sum of its proper divisors (6267560).

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

4800280 is a wasteful number, since it uses less digits than its factorization.

4800280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4800280 is about 2190.9541300538. The cubic root of 4800280 is about 168.6898130125.

The spelling of 4800280 in words is "four million, eight hundred thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 2927 5854 11708 14635 23416 29270 58540 117080 120007 240014 480028 600035 960056 1200070 2400140 4800280