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4525214200 = 2352135332839
BaseRepresentation
bin1000011011011100…
…10100100111111000
3102200100222200212221
410031232110213320
533231423323300
62025011013424
7220065454213
oct41556244770
912610880787
104525214200
111a12402451
12a6359a274
13571694350
1430cdd077a
151b741e31a
hex10db949f8

4525214200 has 96 divisors (see below), whose sum is σ = 11544573600. Its totient is φ = 1639272960.

The previous prime is 4525214149. The next prime is 4525214203. The reversal of 4525214200 is 24125254.

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 (4525214203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121381 + ... + 154219.

It is an arithmetic number, because the mean of its divisors is an integer number (120255975).

Almost surely, 24525214200 is an apocalyptic number.

4525214200 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 4525214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772286800).

4525214200 is an abundant number, since it is smaller than the sum of its proper divisors (7019359400).

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

4525214200 is a wasteful number, since it uses less digits than its factorization.

4525214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32921 (or 32912 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 4525214200 is about 67269.7123525885. The cubic root of 4525214200 is about 1654.0414184669.

Adding to 4525214200 its reverse (24125254), we get a palindrome (4549339454).

The spelling of 4525214200 in words is "four billion, five hundred twenty-five million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 130 200 212 260 265 325 424 520 530 650 689 1060 1300 1325 1378 2120 2600 2650 2756 3445 5300 5512 6890 10600 13780 17225 27560 32839 34450 65678 68900 131356 137800 164195 262712 328390 426907 656780 820975 853814 1313560 1641950 1707628 1740467 2134535 3283900 3415256 3480934 4269070 6567800 6961868 8538140 8702335 10672675 13923736 17076280 17404670 21345350 22626071 34809340 42690700 43511675 45252142 69618680 85381400 87023350 90504284 113130355 174046700 181008568 226260710 348093400 452521420 565651775 905042840 1131303550 2262607100 4525214200