Search a number
-
+
2580280304 = 247791931511
BaseRepresentation
bin1001100111001011…
…1111001111110000
320122211020211011012
42121302333033300
520241022432204
61104012210052
7120641010050
oct23162771760
96584224135
102580280304
111104556868
12600169928
1332175a2a4
141a698b560
151017d776e
hex99cbf3f0

2580280304 has 80 divisors (see below), whose sum is σ = 5819627520. Its totient is φ = 1085460480.

The previous prime is 2580280303. The next prime is 2580280321. The reversal of 2580280304 is 4030820852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580280301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1706909 + ... + 1708419.

It is an arithmetic number, because the mean of its divisors is an integer number (72745344).

Almost surely, 22580280304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580280304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909813760).

2580280304 is an abundant number, since it is smaller than the sum of its proper divisors (3239347216).

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

2580280304 is a wasteful number, since it uses less digits than its factorization.

2580280304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 2580280304 is about 50796.4595616663. The cubic root of 2580280304 is about 1371.5836383605.

The spelling of 2580280304 in words is "two billion, five hundred eighty million, two hundred eighty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 193 316 386 553 632 772 1106 1264 1351 1511 1544 2212 2702 3022 3088 4424 5404 6044 8848 10577 10808 12088 15247 21154 21616 24176 30494 42308 60988 84616 106729 119369 121976 169232 213458 238738 243952 291623 426916 477476 583246 835583 853832 954952 1166492 1671166 1707664 1909904 2041361 2332984 3342332 4082722 4665968 6684664 8165444 13369328 16330888 23038217 32661776 46076434 92152868 161267519 184305736 322535038 368611472 645070076 1290140152 2580280304