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4202172 = 2233134173
BaseRepresentation
bin10000000001111010111100
321220111022000
4100001322330
52033432142
6230022300
750501142
oct20017274
97814260
104202172
112410177
1214a7990
13b418c0
147b5592
1558014c
hex401ebc

4202172 has 96 divisors (see below), whose sum is σ = 12183360. Its totient is φ = 1244160.

The previous prime is 4202171. The next prime is 4202183. The reversal of 4202172 is 2712024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57528 + ... + 57600.

It is an arithmetic number, because the mean of its divisors is an integer number (126910).

Almost surely, 24202172 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 4202172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091680).

4202172 is an abundant number, since it is smaller than the sum of its proper divisors (7981188).

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

4202172 is a wasteful number, since it uses less digits than its factorization.

4202172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4202172 is about 2049.9199984390. The cubic root of 4202172 is about 161.3706722462.

Adding to 4202172 its reverse (2712024), we get a palindrome (6914196).

The spelling of 4202172 in words is "four million, two hundred two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 73 78 82 108 117 123 146 156 164 219 234 246 292 351 369 438 468 492 533 657 702 738 876 949 1066 1107 1314 1404 1476 1599 1898 1971 2132 2214 2628 2847 2993 3198 3796 3942 4428 4797 5694 5986 6396 7884 8541 8979 9594 11388 11972 14391 17082 17958 19188 25623 26937 28782 34164 35916 38909 51246 53874 57564 77818 80811 102492 107748 116727 155636 161622 233454 323244 350181 466908 700362 1050543 1400724 2101086 4202172