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5006250 = 2325589
BaseRepresentation
bin10011000110001110101010
3100102100021200
4103012032222
52240200000
6255145030
760360324
oct23061652
910370250
105006250
11290a2a7
121815176
1310638a2
14944614
1568d500
hex4c63aa

5006250 has 72 divisors (see below), whose sum is σ = 13710060. Its totient is φ = 1320000.

The previous prime is 5006237. The next prime is 5006269. The reversal of 5006250 is 526005.

It can be written as a sum of positive squares in 6 ways, for example, as 1238769 + 3767481 = 1113^2 + 1941^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56206 + ... + 56294.

Almost surely, 25006250 is an apocalyptic number.

5006250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855030).

5006250 is an abundant number, since it is smaller than the sum of its proper divisors (8703810).

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

5006250 is an equidigital number, since it uses as much as digits as its factorization.

5006250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5006250 is about 2237.4650835264. The cubic root of 5006250 is about 171.0688139990.

The spelling of 5006250 in words is "five million, six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 89 90 125 150 178 225 250 267 375 445 450 534 625 750 801 890 1125 1250 1335 1602 1875 2225 2250 2670 3125 3750 4005 4450 5625 6250 6675 8010 9375 11125 11250 13350 18750 20025 22250 28125 33375 40050 55625 56250 66750 100125 111250 166875 200250 278125 333750 500625 556250 834375 1001250 1668750 2503125 5006250