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505423314 = 234111811567
BaseRepresentation
bin11110001000000…
…010010111010010
31022020001011110000
4132020002113102
52013342021224
6122052550430
715345012234
oct3610022722
91266034400
10505423314
1123a331020
12121322416
1380933766
144b1a8254
152e58a0c9
hex1e2025d2

505423314 has 80 divisors (see below), whose sum is σ = 1243097856. Its totient is φ = 152215200.

The previous prime is 505423279. The next prime is 505423319. The reversal of 505423314 is 413324505.

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

It is not an unprimeable number, because it can be changed into a prime (505423319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 321759 + ... + 323325.

Almost surely, 2505423314 is an apocalyptic number.

505423314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505423314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621548928).

505423314 is an abundant number, since it is smaller than the sum of its proper divisors (737674542).

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

505423314 is a wasteful number, since it uses less digits than its factorization.

505423314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 505423314 is about 22481.6216941750. The cubic root of 505423314 is about 796.5598708015.

Adding to 505423314 its reverse (413324505), we get a palindrome (918747819).

The spelling of 505423314 in words is "five hundred five million, four hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 181 198 297 362 543 594 891 1086 1567 1629 1782 1991 3134 3258 3982 4701 4887 5973 9402 9774 11946 14103 14661 17237 17919 28206 29322 34474 35838 42309 51711 53757 84618 103422 107514 126927 155133 161271 253854 283627 310266 322542 465399 567254 850881 930798 1396197 1701762 2552643 2792394 3119897 5105286 6239794 7657929 9359691 15315858 18719382 22973787 28079073 45947574 56158146 84237219 168474438 252711657 505423314