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2488780 = 225729613
BaseRepresentation
bin1001011111100111001100
311200102222001
421133213030
51114120110
6125202044
730103630
oct11374714
94612861
102488780
11144a948
12a00324
13691a68
1448adc0
1534263a
hex25f9cc

2488780 has 48 divisors (see below), whose sum is σ = 6189120. Its totient is φ = 822528.

The previous prime is 2488777. The next prime is 2488781. The reversal of 2488780 is 878842.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2488781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3754 + ... + 4366.

It is an arithmetic number, because the mean of its divisors is an integer number (128940).

22488780 is an apocalyptic number.

2488780 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 2488780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094560).

2488780 is an abundant number, since it is smaller than the sum of its proper divisors (3700340).

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

2488780 is a wasteful number, since it uses less digits than its factorization.

2488780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 2488780 is about 1577.5867646504. The cubic root of 2488780 is about 135.5175378869.

It can be divided in two parts, 24 and 88780, that added together give a square (88804 = 2982).

The spelling of 2488780 in words is "two million, four hundred eighty-eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 613 812 1015 1226 2030 2452 3065 4060 4291 6130 8582 12260 17164 17777 21455 35554 42910 71108 85820 88885 124439 177770 248878 355540 497756 622195 1244390 2488780