Search a number
-
+
505236732 = 2237111342061
BaseRepresentation
bin11110000111010…
…100110011111100
31022012200200111120
4132013110303330
52013320033412
6122044550540
715343304250
oct3607246374
91265620446
10505236732
1123a213920
12121252450
1380899860
144b15a260
152e54eb8c
hex1e1d4cfc

505236732 has 96 divisors (see below), whose sum is σ = 1582877184. Its totient is φ = 121132800.

The previous prime is 505236731. The next prime is 505236769. The reversal of 505236732 is 237632505.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 505236693 and 505236702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505236731) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9019 + ... + 33042.

It is an arithmetic number, because the mean of its divisors is an integer number (16488304).

Almost surely, 2505236732 is an apocalyptic number.

505236732 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

505236732 is an abundant number, since it is smaller than the sum of its proper divisors (1077640452).

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

505236732 is a wasteful number, since it uses less digits than its factorization.

505236732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42099 (or 42097 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 505236732 is about 22477.4716549704. The cubic root of 505236732 is about 796.4618394272.

The spelling of 505236732 in words is "five hundred five million, two hundred thirty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 42061 84122 126183 168244 252366 294427 462671 504732 546793 588854 883281 925342 1093586 1177708 1388013 1640379 1766562 1850684 2187172 2776026 3238697 3280758 3533124 3827551 5552052 6014723 6477394 6561516 7655102 9716091 11482653 12029446 12954788 15310204 18044169 19432182 22965306 24058892 36088338 38864364 42103061 45930612 72176676 84206122 126309183 168412244 252618366 505236732