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4235000 = 23547112
BaseRepresentation
bin10000001001111011111000
321222011022212
4100021323320
52041010000
6230434252
750665640
oct20117370
97864285
104235000
112432900
121502988
13b53823
147c3520
15589c35
hex409ef8

4235000 has 120 divisors (see below), whose sum is σ = 12464760. Its totient is φ = 1320000.

The previous prime is 4234991. The next prime is 4235017. The reversal of 4235000 is 5324.

4235000 = T64 + T65 + ... + T294.

4235000 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 384995 + ... + 385005.

It is an arithmetic number, because the mean of its divisors is an integer number (103873).

Almost surely, 24235000 is an apocalyptic number.

4235000 is a gapful number since it is divisible by the number (40) 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 4235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232380).

4235000 is an abundant number, since it is smaller than the sum of its proper divisors (8229760).

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

4235000 is a wasteful number, since it uses less digits than its factorization.

4235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 4235000 is about 2057.9115627257. The cubic root of 4235000 is about 161.7898000286.

Multiplying 4235000 by its sum of digits (14), we get a square (59290000 = 77002).

4235000 divided by its sum of digits (14) gives a square (302500 = 5502).

The spelling of 4235000 in words is "four million, two hundred thirty-five thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 121 125 140 154 175 200 220 242 250 275 280 308 350 385 440 484 500 550 605 616 625 700 770 847 875 968 1000 1100 1210 1250 1375 1400 1540 1694 1750 1925 2200 2420 2500 2750 3025 3080 3388 3500 3850 4235 4375 4840 5000 5500 6050 6776 6875 7000 7700 8470 8750 9625 11000 12100 13750 15125 15400 16940 17500 19250 21175 24200 27500 30250 33880 35000 38500 42350 48125 55000 60500 75625 77000 84700 96250 105875 121000 151250 169400 192500 211750 302500 385000 423500 529375 605000 847000 1058750 2117500 4235000