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4200438 = 2311312053
BaseRepresentation
bin10000000001011111110110
321220101220210
4100001133312
52033403223
6230010250
750463114
oct20013766
97811823
104200438
112409940
1214a6986
13b40b88
147b4ab4
1557e893
hex4017f6

4200438 has 32 divisors (see below), whose sum is σ = 9464832. Its totient is φ = 1231200.

The previous prime is 4200433. The next prime is 4200439. The reversal of 4200438 is 8340024.

It is a happy number.

It is a super-3 number, since 3×42004383 (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200433) 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 15 ways as a sum of consecutive naturals, for example, 1020 + ... + 3072.

It is an arithmetic number, because the mean of its divisors is an integer number (295776).

Almost surely, 24200438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732416).

4200438 is an abundant number, since it is smaller than the sum of its proper divisors (5264394).

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

4200438 is a wasteful number, since it uses less digits than its factorization.

4200438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4200438 is about 2049.4970114640. The cubic root of 4200438 is about 161.3484729928.

The spelling of 4200438 in words is "four million, two hundred thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 2053 4106 6159 12318 22583 45166 63643 67749 127286 135498 190929 381858 700073 1400146 2100219 4200438