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4425200 = 2452132337
BaseRepresentation
bin10000111000010111110000
322022211020022
4100320113300
52113101300
6234503012
752420313
oct20702760
98284208
104425200
11255279a
121594a68
13bbc280
1483297a
155c6285
hex4385f0

4425200 has 120 divisors (see below), whose sum is σ = 12270048. Its totient is φ = 1520640.

The previous prime is 4425181. The next prime is 4425221. The reversal of 4425200 is 25244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119582 + ... + 119618.

Almost surely, 24425200 is an apocalyptic number.

4425200 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 4425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135024).

4425200 is an abundant number, since it is smaller than the sum of its proper divisors (7844848).

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

4425200 is a wasteful number, since it uses less digits than its factorization.

4425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4425200 is about 2103.6159345280. The cubic root of 4425200 is about 164.1764905468.

The spelling of 4425200 in words is "four million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 23 25 26 37 40 46 50 52 65 74 80 92 100 104 115 130 148 184 185 200 208 230 260 296 299 325 368 370 400 460 481 520 575 592 598 650 740 851 920 925 962 1040 1150 1196 1300 1480 1495 1702 1840 1850 1924 2300 2392 2405 2600 2960 2990 3404 3700 3848 4255 4600 4784 4810 5200 5980 6808 7400 7475 7696 8510 9200 9620 11063 11960 12025 13616 14800 14950 17020 19240 21275 22126 23920 24050 29900 34040 38480 42550 44252 48100 55315 59800 68080 85100 88504 96200 110630 119600 170200 177008 192400 221260 276575 340400 442520 553150 885040 1106300 2212600 4425200