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4122500 = 22541797
BaseRepresentation
bin1111101110011110000100
321202110000012
433232132010
52023410000
6224205352
750016644
oct17563604
97673005
104122500
112366328
121469858
13b14565
14794524
15566735
hex3ee784

4122500 has 60 divisors (see below), whose sum is σ = 9643788. Its totient is φ = 1536000.

The previous prime is 4122493. The next prime is 4122557. The reversal of 4122500 is 52214.

It can be written as a sum of positive squares in 10 ways, for example, as 2715904 + 1406596 = 1648^2 + 1186^2 .

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 19 ways as a sum of consecutive naturals, for example, 42452 + ... + 42548.

Almost surely, 24122500 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 4122500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821894).

4122500 is an abundant number, since it is smaller than the sum of its proper divisors (5521288).

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

4122500 is a wasteful number, since it uses less digits than its factorization.

4122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4122500 is about 2030.3940504247. The cubic root of 4122500 is about 160.3443106156.

Adding to 4122500 its reverse (52214), we get a palindrome (4174714).

It can be divided in two parts, 4 and 122500, that multiplied together give a square (490000 = 7002).

The spelling of 4122500 in words is "four million, one hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 97 100 125 170 194 250 340 388 425 485 500 625 850 970 1250 1649 1700 1940 2125 2425 2500 3298 4250 4850 6596 8245 8500 9700 10625 12125 16490 21250 24250 32980 41225 42500 48500 60625 82450 121250 164900 206125 242500 412250 824500 1030625 2061250 4122500