Search a number
-
+
4425863800 = 2352193137571
BaseRepresentation
bin1000001111100110…
…10101001001111000
3102102110001011202111
410013303111021320
533031010120200
62011101342104
7214451136001
oct40763251170
912373034674
104425863800
111971314a86
12a36267934
13556c1a427
142ddb2c1a8
151ad8470ba
hex107cd5278

4425863800 has 96 divisors (see below), whose sum is σ = 11181427200. Its totient is φ = 1623024000.

The previous prime is 4425863779. The next prime is 4425863801. The reversal of 4425863800 is 83685244.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4425863801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99015 + ... + 136585.

It is an arithmetic number, because the mean of its divisors is an integer number (116473200).

Almost surely, 24425863800 is an apocalyptic number.

4425863800 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 4425863800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590713600).

4425863800 is an abundant number, since it is smaller than the sum of its proper divisors (6755563400).

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

4425863800 is a wasteful number, since it uses less digits than its factorization.

4425863800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37637 (or 37628 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 4425863800 is about 66527.1658798118. The cubic root of 4425863800 is about 1641.8469920819.

The spelling of 4425863800 in words is "four billion, four hundred twenty-five million, eight hundred sixty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 152 155 190 200 248 310 380 475 589 620 760 775 950 1178 1240 1550 1900 2356 2945 3100 3800 4712 5890 6200 11780 14725 23560 29450 37571 58900 75142 117800 150284 187855 300568 375710 713849 751420 939275 1164701 1427698 1502840 1878550 2329402 2855396 3569245 3757100 4658804 5710792 5823505 7138490 7514200 9317608 11647010 14276980 17846225 22129319 23294020 28553960 29117525 35692450 44258638 46588040 58235050 71384900 88517276 110646595 116470100 142769800 177034552 221293190 232940200 442586380 553232975 885172760 1106465950 2212931900 4425863800