Search a number
-
+
501302112 = 25323892551
BaseRepresentation
bin11101111000010…
…100001101100000
31021221021210012220
4131320110031200
52011313131422
6121424351040
715264666123
oct3570241540
91257253186
10501302112
11237a76773
1211ba75480
137cb1c98c
144a8143ba
152e023e5c
hex1de14360

501302112 has 96 divisors (see below), whose sum is σ = 1389104640. Its totient is φ = 157977600.

The previous prime is 501302101. The next prime is 501302119. The reversal of 501302112 is 211203105.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 501302091 and 501302100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501302119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195237 + ... + 197787.

It is an arithmetic number, because the mean of its divisors is an integer number (14469840).

Almost surely, 2501302112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694552320).

501302112 is an abundant number, since it is smaller than the sum of its proper divisors (887802528).

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

501302112 is a wasteful number, since it uses less digits than its factorization.

501302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 501302112 is about 22389.7769528863. The cubic root of 501302112 is about 794.3889200715.

Adding to 501302112 its reverse (211203105), we get a palindrome (712505217).

The spelling of 501302112 in words is "five hundred one million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 89 92 96 138 178 184 267 276 356 368 534 552 712 736 1068 1104 1424 2047 2136 2208 2551 2848 4094 4272 5102 6141 7653 8188 8544 10204 12282 15306 16376 20408 24564 30612 32752 40816 49128 58673 61224 65504 81632 98256 117346 122448 176019 196512 227039 234692 244896 352038 454078 469384 681117 704076 908156 938768 1362234 1408152 1816312 1877536 2724468 2816304 3632624 5221897 5448936 5632608 7265248 10443794 10897872 15665691 20887588 21795744 31331382 41775176 62662764 83550352 125325528 167100704 250651056 501302112