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390012500 = 225541761
BaseRepresentation
bin10111001111110…
…001111001010100
31000011212200120102
4113033301321110
51244320400000
6102411153232
712444023453
oct2717617124
91004780512
10390012500
11190174189
12aa745818
1362a55637
1439b24b9a
152438e3d5
hex173f1e54

390012500 has 72 divisors (see below), whose sum is σ = 875053368. Its totient is φ = 152000000.

The previous prime is 390012499. The next prime is 390012517. The reversal of 390012500 is 5210093.

It can be written as a sum of positive squares in 12 ways, for example, as 261598276 + 128414224 = 16174^2 + 11332^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512120 + ... + 512880.

It is an arithmetic number, because the mean of its divisors is an integer number (12153519).

Almost surely, 2390012500 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 390012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437526684).

390012500 is an abundant number, since it is smaller than the sum of its proper divisors (485040868).

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

390012500 is an equidigital number, since it uses as much as digits as its factorization.

390012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 390012500 is about 19748.7341366478. The cubic root of 390012500 is about 730.6221630318.

Adding to 390012500 its reverse (5210093), we get a palindrome (395222593).

The spelling of 390012500 in words is "three hundred ninety million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 625 761 820 1025 1250 1522 2050 2500 3044 3125 3805 4100 5125 6250 7610 10250 12500 15220 19025 20500 25625 31201 38050 51250 62402 76100 95125 102500 124804 128125 156005 190250 256250 312010 380500 475625 512500 624020 780025 951250 1560050 1902500 2378125 3120100 3900125 4756250 7800250 9512500 15600500 19500625 39001250 78002500 97503125 195006250 390012500