Search a number
-
+
500055040 = 2105101967
BaseRepresentation
bin11101110011100…
…011110000000000
31021211221102120001
4131303203300000
52011003230130
6121341525344
715251253262
oct3563436000
91254842501
10500055040
112372a4831
1211b573854
137c7a4174
144a5abb32
152dd796ca
hex1dce3c00

500055040 has 88 divisors (see below), whose sum is σ = 1212675552. Its totient is φ = 197836800.

The previous prime is 500055013. The next prime is 500055067. The reversal of 500055040 is 40550005.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (500055013) and next prime (500055067).

It is a junction number, because it is equal to n+sod(n) for n = 500054999 and 500055017.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 516637 + ... + 517603.

It is an arithmetic number, because the mean of its divisors is an integer number (13780404).

Almost surely, 2500055040 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 500055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606337776).

500055040 is an abundant number, since it is smaller than the sum of its proper divisors (712620512).

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

500055040 is a wasteful number, since it uses less digits than its factorization.

500055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 500055040 is about 22361.9104729448. The cubic root of 500055040 is about 793.7296484335.

The spelling of 500055040 in words is "five hundred million, fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 640 808 967 1010 1024 1280 1616 1934 2020 2560 3232 3868 4040 4835 5120 6464 7736 8080 9670 12928 15472 16160 19340 25856 30944 32320 38680 51712 61888 64640 77360 97667 103424 123776 129280 154720 195334 247552 258560 309440 390668 488335 495104 517120 618880 781336 976670 990208 1237760 1562672 1953340 2475520 3125344 3906680 4951040 6250688 7813360 12501376 15626720 25002752 31253440 50005504 62506880 100011008 125013760 250027520 500055040