Search a number
-
+
4325033200 = 245231536581
BaseRepresentation
bin1000000011100101…
…01100010011110000
3102011102022110011211
410001302230103300
532324202030300
61553100245504
7212115114145
oct40162542360
912142273154
104325033200
11191a406504
12a08540894
1353c075857
142d05a23cc
151a4a7b4ba
hex101cac4f0

4325033200 has 120 divisors (see below), whose sum is σ = 10930121856. Its totient is φ = 1642368000.

The previous prime is 4325033179. The next prime is 4325033239. The reversal of 4325033200 is 23305234.

It is a super-2 number, since 2×43250332002 = 37411824362204480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 653910 + ... + 660490.

Almost surely, 24325033200 is an apocalyptic number.

4325033200 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 4325033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465060928).

4325033200 is an abundant number, since it is smaller than the sum of its proper divisors (6605088656).

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

4325033200 is a wasteful number, since it uses less digits than its factorization.

4325033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 4325033200 is about 65764.9846042710. The cubic root of 4325033200 is about 1629.2828340434.

Adding to 4325033200 its reverse (23305234), we get a palindrome (4348338434).

The spelling of 4325033200 in words is "four billion, three hundred twenty-five million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 53 62 80 100 106 124 155 200 212 248 265 310 400 424 496 530 620 775 848 1060 1240 1325 1550 1643 2120 2480 2650 3100 3286 4240 5300 6200 6572 6581 8215 10600 12400 13144 13162 16430 21200 26288 26324 32860 32905 41075 52648 65720 65810 82150 105296 131440 131620 164300 164525 204011 263240 328600 329050 348793 408022 526480 657200 658100 697586 816044 1020055 1316200 1395172 1632088 1743965 2040110 2632400 2790344 3264176 3487930 4080220 5100275 5580688 6975860 8160440 8719825 10200550 10812583 13951720 16320880 17439650 20401100 21625166 27903440 34879300 40802200 43250332 54062915 69758600 81604400 86500664 108125830 139517200 173001328 216251660 270314575 432503320 540629150 865006640 1081258300 2162516600 4325033200