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4254200 = 235289239
BaseRepresentation
bin10000001110100111111000
322000010122222
4100032213320
52042113300
6231103212
751105626
oct20164770
98003588
104254200
112446275
121511b08
13b5c4a2
147ca516
15590785
hex40e9f8

4254200 has 48 divisors (see below), whose sum is σ = 10044000. Its totient is φ = 1675520.

The previous prime is 4254197. The next prime is 4254203. The reversal of 4254200 is 24524.

It is an interprime number because it is at equal distance from previous prime (4254197) and next prime (4254203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4254203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17681 + ... + 17919.

It is an arithmetic number, because the mean of its divisors is an integer number (209250).

Almost surely, 24254200 is an apocalyptic number.

4254200 is a gapful number since it is divisible by the number (40) 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 4254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022000).

4254200 is an abundant number, since it is smaller than the sum of its proper divisors (5789800).

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

4254200 is a wasteful number, since it uses less digits than its factorization.

4254200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4254200 is about 2062.5712108919. The cubic root of 4254200 is about 162.0339308087.

Adding to 4254200 its reverse (24524), we get a palindrome (4278724).

The spelling of 4254200 in words is "four million, two hundred fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 239 356 445 478 712 890 956 1195 1780 1912 2225 2390 3560 4450 4780 5975 8900 9560 11950 17800 21271 23900 42542 47800 85084 106355 170168 212710 425420 531775 850840 1063550 2127100 4254200