Search a number
-
+
501055000 = 2354234357
BaseRepresentation
bin11101110111010…
…111111000011000
31021220211020020121
4131313113320120
52011232230000
6121415203024
715262616515
oct3567277030
91256736217
10501055000
11237918046
1211b976474
137ca64364
144a78c30c
152dec5b1a
hex1ddd7e18

501055000 has 80 divisors (see below), whose sum is σ = 1225295280. Its totient is φ = 191664000.

The previous prime is 501054997. The next prime is 501055001. The reversal of 501055000 is 550105.

It is a super-2 number, since 2×5010550002 = 502112226050000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501055001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112822 + ... + 117178.

It is an arithmetic number, because the mean of its divisors is an integer number (15316191).

Almost surely, 2501055000 is an apocalyptic number.

501055000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612647640).

501055000 is an abundant number, since it is smaller than the sum of its proper divisors (724240280).

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

501055000 is a wasteful number, since it uses less digits than its factorization.

501055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 16.

The square root of 501055000 is about 22384.2578612738. The cubic root of 501055000 is about 794.2583698543.

The spelling of 501055000 in words is "five hundred one million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 625 920 1000 1150 1250 2300 2500 2875 4357 4600 5000 5750 8714 11500 14375 17428 21785 23000 28750 34856 43570 57500 87140 100211 108925 115000 174280 200422 217850 400844 435700 501055 544625 801688 871400 1002110 1089250 2004220 2178500 2505275 2723125 4008440 4357000 5010550 5446250 10021100 10892500 12526375 20042200 21785000 25052750 50105500 62631875 100211000 125263750 250527500 501055000