Search a number
-
+
505705002 = 231123333139
BaseRepresentation
bin11110001001000…
…111001000101010
31022020120110211220
4132021013020222
52013430030002
6122103002510
715350264415
oct3611071052
91266513756
10505705002
1123a503720
12121439436
1380a01a3a
144b23cb7c
152e5e37bc
hex1e24722a

505705002 has 32 divisors (see below), whose sum is σ = 1151331840. Its totient is φ = 146580720.

The previous prime is 505704977. The next prime is 505705019. The reversal of 505705002 is 200507505.

It is an unprimeable number.

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, 165052 + ... + 168087.

It is an arithmetic number, because the mean of its divisors is an integer number (35979120).

Almost surely, 2505705002 is an apocalyptic number.

505705002 is an abundant number, since it is smaller than the sum of its proper divisors (645626838).

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

505705002 is a wasteful number, since it uses less digits than its factorization.

505705002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333178.

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 505705002 is about 22487.8856720680. The cubic root of 505705002 is about 796.7078257788.

It can be divided in two parts, 505 and 705002, that added together give a palindrome (705507).

The spelling of 505705002 in words is "five hundred five million, seven hundred five thousand, two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 333139 666278 999417 1998834 3664529 7329058 7662197 10993587 15324394 21987174 22986591 45973182 84284167 168568334 252852501 505705002