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4201296 = 2431173109
BaseRepresentation
bin10000000001101101010000
321220110002120
4100001231100
52033420141
6230014240
750465451
oct20015520
97813076
104201296
11240a550
1214a7380
13b41398
147b5128
1557ec66
hex401b50

4201296 has 80 divisors (see below), whose sum is σ = 12112320. Its totient is φ = 1244160.

The previous prime is 4201291. The next prime is 4201303. The reversal of 4201296 is 6921024.

4201296 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201291) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38490 + ... + 38598.

It is an arithmetic number, because the mean of its divisors is an integer number (151404).

Almost surely, 24201296 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 4201296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056160).

4201296 is an abundant number, since it is smaller than the sum of its proper divisors (7911024).

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

4201296 is a wasteful number, since it uses less digits than its factorization.

4201296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4201296 is about 2049.7063204274. The cubic root of 4201296 is about 161.3594581619.

The spelling of 4201296 in words is "four million, two hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 109 132 146 176 218 219 264 292 327 436 438 528 584 654 803 872 876 1168 1199 1308 1606 1744 1752 2398 2409 2616 3212 3504 3597 4796 4818 5232 6424 7194 7957 9592 9636 12848 14388 15914 19184 19272 23871 28776 31828 38544 47742 57552 63656 87527 95484 127312 175054 190968 262581 350108 381936 525162 700216 1050324 1400432 2100648 4201296