Search a number
-
+
2482830 = 232572563
BaseRepresentation
bin1001011110001010001110
311200010210200
421132022032
51113422310
6125114330
730050400
oct11361216
94603720
102482830
111446429
129b89a6
1368c13c
14488b70
153409c0
hex25e28e

2482830 has 72 divisors (see below), whose sum is σ = 7522632. Its totient is φ = 566496.

The previous prime is 2482813. The next prime is 2482841. The reversal of 2482830 is 382842.

2482830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2482794 and 2482803.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4129 + ... + 4691.

It is an arithmetic number, because the mean of its divisors is an integer number (104481).

22482830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2482830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761316).

2482830 is an abundant number, since it is smaller than the sum of its proper divisors (5039802).

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

2482830 is a wasteful number, since it uses less digits than its factorization.

2482830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2482830 is about 1575.6998445135. The cubic root of 2482830 is about 135.4094564471.

The spelling of 2482830 in words is "two million, four hundred eighty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 563 630 735 882 1126 1470 1689 2205 2815 3378 3941 4410 5067 5630 7882 8445 10134 11823 16890 19705 23646 25335 27587 35469 39410 50670 55174 59115 70938 82761 118230 137935 165522 177345 248283 275870 354690 413805 496566 827610 1241415 2482830