Search a number
-
+
505663041 = 31323132173
BaseRepresentation
bin11110001000111…
…100111001000001
31022020111100021210
4132020330321001
52013422204131
6122102040333
715350031162
oct3610747101
91266440253
10505663041
1123a485144
121214190a9
13809b8900
144b22b769
152e5d6146
hex1e23ce41

505663041 has 24 divisors (see below), whose sum is σ = 753643776. Its totient is φ = 301129920.

The previous prime is 505663033. The next prime is 505663049. The reversal of 505663041 is 140366505.

It is an interprime number because it is at equal distance from previous prime (505663033) and next prime (505663049).

It is not a de Polignac number, because 505663041 - 23 = 505663033 is a prime.

It is a super-2 number, since 2×5056630412 = 511390222066735362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505663049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370 + ... + 31803.

It is an arithmetic number, because the mean of its divisors is an integer number (31401824).

Almost surely, 2505663041 is an apocalyptic number.

It is an amenable number.

505663041 is a deficient number, since it is larger than the sum of its proper divisors (247980735).

505663041 is a wasteful number, since it uses less digits than its factorization.

505663041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32233 (or 32220 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 505663041 is about 22486.9526837231. The cubic root of 505663041 is about 796.6857894917.

The spelling of 505663041 in words is "five hundred five million, six hundred sixty-three thousand, forty-one".

Divisors: 1 3 13 31 39 93 169 403 507 1209 5239 15717 32173 96519 418249 997363 1254747 2992089 5437237 12965719 16311711 38897157 168554347 505663041