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4164252 = 22317137149
BaseRepresentation
bin1111111000101010011100
321211120021120
433320222130
52031224002
6225130540
750252451
oct17705234
97746246
104164252
112394734
121489a50
13b2a571
147a5828
15573cbc
hex3f8a9c

4164252 has 48 divisors (see below), whose sum is σ = 10432800. Its totient is φ = 1288192.

The previous prime is 4164241. The next prime is 4164253. The reversal of 4164252 is 2524614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164253) 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 15 ways as a sum of consecutive naturals, for example, 27874 + ... + 28022.

It is an arithmetic number, because the mean of its divisors is an integer number (217350).

Almost surely, 24164252 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 4164252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216400).

4164252 is an abundant number, since it is smaller than the sum of its proper divisors (6268548).

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

4164252 is a wasteful number, since it uses less digits than its factorization.

4164252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 308 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 4164252 is about 2040.6498964791. The cubic root of 4164252 is about 160.8838069605.

Adding to 4164252 its reverse (2524614), we get a palindrome (6688866).

The spelling of 4164252 in words is "four million, one hundred sixty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 137 149 204 274 298 411 447 548 596 822 894 1644 1788 2329 2533 4658 5066 6987 7599 9316 10132 13974 15198 20413 27948 30396 40826 61239 81652 122478 244956 347021 694042 1041063 1388084 2082126 4164252