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505055000 = 2354831217
BaseRepresentation
bin11110000110101…
…000011100011000
31022012100110012202
4132012220130120
52013243230000
6122041025332
715341616362
oct3606503430
91265313182
10505055000
1123a0aa32a
12121185248
1380834c18
144b10dd32
152e515dd5
hex1e1a8718

505055000 has 80 divisors (see below), whose sum is σ = 1198585080. Its totient is φ = 199424000.

The previous prime is 505054973. The next prime is 505055003. The reversal of 505055000 is 550505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505055003) 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 19 ways as a sum of consecutive naturals, for example, 414392 + ... + 415608.

Almost surely, 2505055000 is an apocalyptic number.

505055000 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 505055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599292540).

505055000 is an abundant number, since it is smaller than the sum of its proper divisors (693530080).

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

505055000 is a wasteful number, since it uses less digits than its factorization.

505055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

The square root of 505055000 is about 22473.4287548652. The cubic root of 505055000 is about 796.3663330689.

The spelling of 505055000 in words is "five hundred five million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 625 664 830 1000 1217 1250 1660 2075 2434 2500 3320 4150 4868 5000 6085 8300 9736 10375 12170 16600 20750 24340 30425 41500 48680 51875 60850 83000 101011 103750 121700 152125 202022 207500 243400 304250 404044 415000 505055 608500 760625 808088 1010110 1217000 1521250 2020220 2525275 3042500 4040440 5050550 6085000 10101100 12626375 20202200 25252750 50505500 63131875 101011000 126263750 252527500 505055000