Search a number
-
+
423743200 = 25524112919
BaseRepresentation
bin11001010000011…
…100111011100000
31002112100101101121
4121100130323200
51331434240300
6110014142024
713333520626
oct3120347340
91075311347
10423743200
111a82125a1
12b9ab1914
1369a3572a
14403c5516
152730381a
hex1941cee0

423743200 has 72 divisors (see below), whose sum is σ = 1059775920. Its totient is φ = 165350400.

The previous prime is 423743179. The next prime is 423743209. The reversal of 423743200 is 2347324.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423743209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26341 + ... + 39259.

It is an arithmetic number, because the mean of its divisors is an integer number (14719110).

Almost surely, 2423743200 is an apocalyptic number.

423743200 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 423743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529887960).

423743200 is an abundant number, since it is smaller than the sum of its proper divisors (636032720).

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

423743200 is a wasteful number, since it uses less digits than its factorization.

423743200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12980 (or 12967 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 423743200 is about 20585.0236822793. The cubic root of 423743200 is about 751.1054513175.

The spelling of 423743200 in words is "four hundred twenty-three million, seven hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 160 164 200 205 328 400 410 656 800 820 1025 1312 1640 2050 3280 4100 6560 8200 12919 16400 25838 32800 51676 64595 103352 129190 206704 258380 322975 413408 516760 529679 645950 1033520 1059358 1291900 2067040 2118716 2583800 2648395 4237432 5167600 5296790 8474864 10335200 10593580 13241975 16949728 21187160 26483950 42374320 52967900 84748640 105935800 211871600 423743200