Search a number
-
+
505421424 = 24331768821
BaseRepresentation
bin11110001000000…
…001111001110000
31022020001001212000
4132020001321300
52013341441144
6122052534000
715345003564
oct3610017160
91266031760
10505421424
1123a32a662
12121321300
1380932941
144b1a76a4
152e589769
hex1e201e70

505421424 has 80 divisors (see below), whose sum is σ = 1536107040. Its totient is φ = 158561280.

The previous prime is 505421393. The next prime is 505421429. The reversal of 505421424 is 424124505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505421429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27067 + ... + 41754.

It is an arithmetic number, because the mean of its divisors is an integer number (19201338).

Almost surely, 2505421424 is an apocalyptic number.

505421424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

505421424 is an abundant number, since it is smaller than the sum of its proper divisors (1030685616).

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

505421424 is a wasteful number, since it uses less digits than its factorization.

505421424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68855 (or 68843 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 505421424 is about 22481.5796598015. The cubic root of 505421424 is about 796.5588779044.

Adding to 505421424 its reverse (424124505), we get a palindrome (929545929).

The spelling of 505421424 in words is "five hundred five million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 68821 137642 206463 275284 412926 550568 619389 825852 1101136 1169957 1238778 1651704 1858167 2339914 2477556 3303408 3509871 3716334 4679828 4955112 7019742 7432668 9359656 9910224 10529613 14039484 14865336 18719312 21059226 28078968 29730672 31588839 42118452 56157936 63177678 84236904 126355356 168473808 252710712 505421424