Search a number
-
+
501050000 = 245511911
BaseRepresentation
bin11101110111010…
…110101010010000
31021220210222101102
4131313112222100
52011232100000
6121415123532
715262566113
oct3567265220
91256728342
10501050000
11237914310
1211b9735a8
137ca61cb9
144a78a57a
152dec43d5
hex1ddd6a90

501050000 has 120 divisors (see below), whose sum is σ = 1325165184. Its totient is φ = 182000000.

The previous prime is 501049981. The next prime is 501050029. The reversal of 501050000 is 50105.

It is a super-2 number, since 2×5010500002 = 502102205000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549545 + ... + 550455.

Almost surely, 2501050000 is an apocalyptic number.

501050000 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 501050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662582592).

501050000 is an abundant number, since it is smaller than the sum of its proper divisors (824115184).

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

501050000 is an equidigital number, since it uses as much as digits as its factorization.

501050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 11.

The square root of 501050000 is about 22384.1461753626. The cubic root of 501050000 is about 794.2557278921.

Multiplying 501050000 by its reverse (50105), we get a square (25105110250000 = 50105002).

501050000 divided by its reverse (50105) gives a 4-th power (10000 = 104).

The spelling of 501050000 in words is "five hundred one million, fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 911 1000 1100 1250 1375 1822 2000 2200 2500 2750 3125 3644 4400 4555 5000 5500 6250 6875 7288 9110 10000 10021 11000 12500 13750 14576 18220 20042 22000 22775 25000 27500 34375 36440 40084 45550 50000 50105 55000 68750 72880 80168 91100 100210 110000 113875 137500 160336 182200 200420 227750 250525 275000 364400 400840 455500 501050 550000 569375 801680 911000 1002100 1138750 1252625 1822000 2004200 2277500 2505250 2846875 4008400 4555000 5010500 5693750 6263125 9110000 10021000 11387500 12526250 20042000 22775000 25052500 31315625 45550000 50105000 62631250 100210000 125262500 250525000 501050000