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4138300 = 2252291427
BaseRepresentation
bin1111110010010100111100
321210020200101
433302110330
52024411200
6224410444
750114005
oct17622474
97706611
104138300
112377191
121476a24
13b1b7ca
1479a1ac
1556b26a
hex3f253c

4138300 has 36 divisors (see below), whose sum is σ = 9296280. Its totient is φ = 1597120.

The previous prime is 4138291. The next prime is 4138307. The reversal of 4138300 is 38314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138307) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2187 + ... + 3613.

It is an arithmetic number, because the mean of its divisors is an integer number (258230).

Almost surely, 24138300 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 4138300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648140).

4138300 is an abundant number, since it is smaller than the sum of its proper divisors (5157980).

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

4138300 is a wasteful number, since it uses less digits than its factorization.

4138300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4138300 is about 2034.2811998345. The cubic root of 4138300 is about 160.5488960537.

The spelling of 4138300 in words is "four million, one hundred thirty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1427 1450 2854 2900 5708 7135 14270 28540 35675 41383 71350 82766 142700 165532 206915 413830 827660 1034575 2069150 4138300