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4212500 = 2255337
BaseRepresentation
bin10000000100011100010100
321221000110112
4100010130110
52034300000
6230142152
750543225
oct20043424
97830415
104212500
112417a06
1214b1958
13b46506
147b924c
15583235
hex404714

4212500 has 36 divisors (see below), whose sum is σ = 9241596. Its totient is φ = 1680000.

The previous prime is 4212479. The next prime is 4212521. The reversal of 4212500 is 52124.

It is an interprime number because it is at equal distance from previous prime (4212479) and next prime (4212521).

It can be written as a sum of positive squares in 6 ways, for example, as 3818116 + 394384 = 1954^2 + 628^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12332 + ... + 12668.

It is an arithmetic number, because the mean of its divisors is an integer number (256711).

Almost surely, 24212500 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 4212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620798).

4212500 is an abundant number, since it is smaller than the sum of its proper divisors (5029096).

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

4212500 is an equidigital number, since it uses as much as digits as its factorization.

4212500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

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

The square root of 4212500 is about 2052.4375751774. The cubic root of 4212500 is about 161.5027684381.

Adding to 4212500 its reverse (52124), we get a palindrome (4264624).

The spelling of 4212500 in words is "four million, two hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 337 500 625 674 1250 1348 1685 2500 3125 3370 6250 6740 8425 12500 16850 33700 42125 84250 168500 210625 421250 842500 1053125 2106250 4212500