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4190172 = 223783601
BaseRepresentation
bin1111111110111111011100
321212212211120
433332333130
52033041142
6225450540
750421150
oct17767734
97785746
104190172
112402158
1214a0a50
13b392bc
147b1060
1557b7ec
hex3fefdc

4190172 has 48 divisors (see below), whose sum is σ = 11327232. Its totient is φ = 1180800.

The previous prime is 4190171. The next prime is 4190183. The reversal of 4190172 is 2710914.

4190172 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4190171) 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, 6672 + ... + 7272.

It is an arithmetic number, because the mean of its divisors is an integer number (235984).

Almost surely, 24190172 is an apocalyptic number.

4190172 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4190172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663616).

4190172 is an abundant number, since it is smaller than the sum of its proper divisors (7137060).

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

4190172 is a wasteful number, since it uses less digits than its factorization.

4190172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 4190172 is about 2046.9909623640. The cubic root of 4190172 is about 161.2169188793.

The spelling of 4190172 in words is "four million, one hundred ninety thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 601 996 1162 1202 1743 1803 2324 2404 3486 3606 4207 6972 7212 8414 12621 16828 25242 49883 50484 99766 149649 199532 299298 349181 598596 698362 1047543 1396724 2095086 4190172