Search a number
-
+
5254125200 = 245261349617
BaseRepresentation
bin1001110010010101…
…11001011010010000
3111120011120012210122
410321022321122100
541230024001300
62225210045412
7244126220162
oct47112713220
914504505718
105254125200
1122568a9035
121027719868
136596b6b2c
1437bb32932
1520b402c85
hex1392b9690

5254125200 has 120 divisors (see below), whose sum is σ = 12887586600. Its totient is φ = 2057932800.

The previous prime is 5254125169. The next prime is 5254125259. The reversal of 5254125200 is 25214525.

It can be written as a sum of positive squares in 12 ways, for example, as 3824680336 + 1429444864 = 61844^2 + 37808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5254125200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8515292 + ... + 8515908.

It is an arithmetic number, because the mean of its divisors is an integer number (107396555).

Almost surely, 25254125200 is an apocalyptic number.

5254125200 is a gapful number since it is divisible by the number (50) 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 5254125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443793300).

5254125200 is an abundant number, since it is smaller than the sum of its proper divisors (7633461400).

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

5254125200 is a wasteful number, since it uses less digits than its factorization.

5254125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 5254125200 is about 72485.3447256754. The cubic root of 5254125200 is about 1738.4684193016.

Adding to 5254125200 its reverse (25214525), we get a palindrome (5279339725).

The spelling of 5254125200 in words is "five billion, two hundred fifty-four million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 349 400 488 610 617 698 976 1220 1234 1396 1525 1745 2440 2468 2792 3050 3085 3490 4880 4936 5584 6100 6170 6980 8725 9872 12200 12340 13960 15425 17450 21289 24400 24680 27920 30850 34900 37637 42578 49360 61700 69800 75274 85156 106445 123400 139600 150548 170312 188185 212890 215333 246800 301096 340624 376370 425780 430666 532225 602192 752740 851560 861332 940925 1064450 1076665 1505480 1703120 1722664 1881850 2128900 2153330 3010960 3445328 3763700 4257800 4306660 5383325 7527400 8515600 8613320 10766650 13135313 15054800 17226640 21533300 26270626 43066600 52541252 65676565 86133200 105082504 131353130 210165008 262706260 328382825 525412520 656765650 1050825040 1313531300 2627062600 5254125200