Search a number
-
+
2480800 = 25527443
BaseRepresentation
bin1001011101101010100000
311200001000111
421131222200
51113341200
6125101104
730041440
oct11355240
94601014
102480800
111444953
129b7794
1368b23a
14488120
153400ba
hex25daa0

2480800 has 72 divisors (see below), whose sum is σ = 6937056. Its totient is φ = 848640.

The previous prime is 2480783. The next prime is 2480843. The reversal of 2480800 is 80842.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5379 + ... + 5821.

It is an arithmetic number, because the mean of its divisors is an integer number (96348).

22480800 is an apocalyptic number.

2480800 is a gapful number since it is divisible by the number (20) 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 2480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468528).

2480800 is an abundant number, since it is smaller than the sum of its proper divisors (4456256).

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

2480800 is a wasteful number, since it uses less digits than its factorization.

2480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

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

The square root of 2480800 is about 1575.0555545758. The cubic root of 2480800 is about 135.3725420999.

The spelling of 2480800 in words is "two million, four hundred eighty thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 443 560 700 800 886 1120 1400 1772 2215 2800 3101 3544 4430 5600 6202 7088 8860 11075 12404 14176 15505 17720 22150 24808 31010 35440 44300 49616 62020 70880 77525 88600 99232 124040 155050 177200 248080 310100 354400 496160 620200 1240400 2480800