Search a number
-
+
2412505312 = 257312631321
BaseRepresentation
bin1000111111001011…
…1110100011100000
320020010112222010121
42033302332203200
514420100132222
61035220210024
7113532646120
oct21762764340
96203488117
102412505312
111028883a48
12573b39914
132c5a76949
1418c596c80
15e1be65c7
hex8fcbe8e0

2412505312 has 96 divisors (see below), whose sum is σ = 5628801024. Its totient is φ = 996019200.

The previous prime is 2412505283. The next prime is 2412505321. The reversal of 2412505312 is 2135052142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1825612 + ... + 1826932.

It is an arithmetic number, because the mean of its divisors is an integer number (58633344).

Almost surely, 22412505312 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 2412505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814400512).

2412505312 is an abundant number, since it is smaller than the sum of its proper divisors (3216295712).

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

2412505312 is a wasteful number, since it uses less digits than its factorization.

2412505312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2412505312 is about 49117.2608356777. The cubic root of 2412505312 is about 1341.1872806846.

Adding to 2412505312 its reverse (2135052142), we get a palindrome (4547557454).

The spelling of 2412505312 in words is "two billion, four hundred twelve million, five hundred five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 263 434 496 526 868 992 1052 1321 1736 1841 2104 2642 3472 3682 4208 5284 6944 7364 8153 8416 9247 10568 14728 16306 18494 21136 29456 32612 36988 40951 42272 57071 58912 65224 73976 81902 114142 130448 147952 163804 228284 260896 286657 295904 327608 347423 456568 573314 655216 694846 913136 1146628 1310432 1389692 1826272 2293256 2431961 2779384 4586512 4863922 5558768 9173024 9727844 10770113 11117536 19455688 21540226 38911376 43080452 75390791 77822752 86160904 150781582 172321808 301563164 344643616 603126328 1206252656 2412505312