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4248192 = 273132337
BaseRepresentation
bin10000001101001010000000
321222211102110
4100031022000
52041420232
6231015320
751052254
oct20151200
97884373
104248192
112441803
12150a540
13b59830
147c8264
1558dacc
hex40d280

4248192 has 128 divisors (see below), whose sum is σ = 13023360. Its totient is φ = 1216512.

The previous prime is 4248187. The next prime is 4248193. The reversal of 4248192 is 2918424.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4248193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114798 + ... + 114834.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

Almost surely, 24248192 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 4248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511680).

4248192 is an abundant number, since it is smaller than the sum of its proper divisors (8775168).

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

4248192 is a wasteful number, since it uses less digits than its factorization.

4248192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 4248192 is about 2061.1142617526. The cubic root of 4248192 is about 161.9576173231.

The spelling of 4248192 in words is "four million, two hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 37 39 46 48 52 64 69 74 78 92 96 104 111 128 138 148 156 184 192 208 222 276 296 299 312 368 384 416 444 481 552 592 598 624 736 832 851 888 897 962 1104 1184 1196 1248 1443 1472 1664 1702 1776 1794 1924 2208 2368 2392 2496 2553 2886 2944 3404 3552 3588 3848 4416 4736 4784 4992 5106 5772 6808 7104 7176 7696 8832 9568 10212 11063 11544 13616 14208 14352 15392 19136 20424 22126 23088 27232 28704 30784 33189 38272 40848 44252 46176 54464 57408 61568 66378 81696 88504 92352 108928 114816 132756 163392 177008 184704 265512 326784 354016 531024 708032 1062048 1416064 2124096 4248192