Search a number
-
+
504302022 = 232724313297
BaseRepresentation
bin11110000011110…
…000100111000110
31022010221012022200
4132003300213012
52013100131042
6122012535330
715332332200
oct3603604706
91263835280
10504302022
11239735634
12120a81546
1380630283
144ad95770
152e417c4c
hex1e0f09c6

504302022 has 72 divisors (see below), whose sum is σ = 1300703976. Its totient is φ = 140724864.

The previous prime is 504301981. The next prime is 504302033. The reversal of 504302022 is 220203405.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 504301986 and 504302004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31278 + ... + 44574.

It is an arithmetic number, because the mean of its divisors is an integer number (18065333).

Almost surely, 2504302022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504302022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650351988).

504302022 is an abundant number, since it is smaller than the sum of its proper divisors (796401954).

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

504302022 is a wasteful number, since it uses less digits than its factorization.

504302022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13362 (or 13352 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 504302022 is about 22456.6698777891. The cubic root of 504302022 is about 795.9703731724.

Adding to 504302022 its reverse (220203405), we get a palindrome (724505427).

The spelling of 504302022 in words is "five hundred four million, three hundred two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 86 98 126 129 147 258 294 301 387 441 602 774 882 903 1806 2107 2709 4214 5418 6321 12642 13297 18963 26594 37926 39891 79782 93079 119673 186158 239346 279237 558474 571771 651553 837711 1143542 1303106 1675422 1715313 1954659 3430626 3909318 4002397 5145939 5863977 8004794 10291878 11727954 12007191 24014382 28016779 36021573 56033558 72043146 84050337 168100674 252151011 504302022