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4325423200 = 255271037499
BaseRepresentation
bin1000000011101000…
…01011100001100000
3102011110001021011021
410001310023201200
532324302020300
61553112455224
7212121330160
oct40164134140
912143037137
104325423200
11191a65251a
12a086aa514
1353c181217
142d06645a0
151a4b06d1a
hex101d0b860

4325423200 has 144 divisors (see below), whose sum is σ = 12186720000. Its totient is φ = 1468408320.

The previous prime is 4325423189. The next prime is 4325423209. The reversal of 4325423200 is 23245234.

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 (4325423209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 573051 + ... + 580549.

It is an arithmetic number, because the mean of its divisors is an integer number (84630000).

Almost surely, 24325423200 is an apocalyptic number.

4325423200 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 4325423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360000).

4325423200 is an abundant number, since it is smaller than the sum of its proper divisors (7861296800).

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

4325423200 is a wasteful number, since it uses less digits than its factorization.

4325423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 4325423200 is about 65767.9496411436. The cubic root of 4325423200 is about 1629.3318048588.

Adding to 4325423200 its reverse (23245234), we get a palindrome (4348668434).

The spelling of 4325423200 in words is "four billion, three hundred twenty-five million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 103 112 140 160 175 200 206 224 280 350 400 412 515 560 700 721 800 824 1030 1120 1400 1442 1648 2060 2575 2800 2884 3296 3605 4120 5150 5600 5768 7210 7499 8240 10300 11536 14420 14998 16480 18025 20600 23072 28840 29996 36050 37495 41200 52493 57680 59992 72100 74990 82400 104986 115360 119984 144200 149980 187475 209972 239968 262465 288400 299960 374950 419944 524930 576800 599920 749900 772397 839888 1049860 1199840 1312325 1499800 1544794 1679776 2099720 2624650 2999600 3089588 3861985 4199440 5249300 5406779 5999200 6179176 7723970 8398880 10498600 10813558 12358352 15447940 19309925 20997200 21627116 24716704 27033895 30895880 38619850 41994400 43254232 54067790 61791760 77239700 86508464 108135580 123583520 135169475 154479400 173016928 216271160 270338950 308958800 432542320 540677900 617917600 865084640 1081355800 2162711600 4325423200