Search a number
-
+
52487500 = 2255131719
BaseRepresentation
bin1100100000111…
…0010101001100
310122202122022111
43020032111030
5101414100000
65112553404
71205064532
oct310162514
9118678274
1052487500
112769a6aa
12156b2864
13ab496c0
146d84152
15491bcba
hex320e54c

52487500 has 144 divisors (see below), whose sum is σ = 137803680. Its totient is φ = 17280000.

The previous prime is 52487489. The next prime is 52487509. The reversal of 52487500 is 578425.

It is not an unprimeable number, because it can be changed into a prime (52487509) 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 47 ways as a sum of consecutive naturals, for example, 2762491 + ... + 2762509.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 252487500 is an apocalyptic number.

52487500 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 52487500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901840).

52487500 is an abundant number, since it is smaller than the sum of its proper divisors (85316180).

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

52487500 is a wasteful number, since it uses less digits than its factorization.

52487500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 52487500 is about 7244.8257397953. The cubic root of 52487500 is about 374.4138992545.

The spelling of 52487500 in words is "fifty-two million, four hundred eighty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 13 17 19 20 25 26 34 38 50 52 65 68 76 85 95 100 125 130 170 190 221 247 250 260 323 325 340 380 425 442 475 494 500 625 646 650 850 884 950 988 1105 1235 1250 1292 1300 1615 1625 1700 1900 2125 2210 2375 2470 2500 3125 3230 3250 4199 4250 4420 4750 4940 5525 6175 6250 6460 6500 8075 8125 8398 8500 9500 10625 11050 11875 12350 12500 16150 16250 16796 20995 21250 22100 23750 24700 27625 30875 32300 32500 40375 40625 41990 42500 47500 53125 55250 59375 61750 80750 81250 83980 104975 106250 110500 118750 123500 138125 154375 161500 162500 201875 209950 212500 237500 276250 308750 403750 419900 524875 552500 617500 690625 771875 807500 1009375 1049750 1381250 1543750 2018750 2099500 2624375 2762500 3087500 4037500 5248750 10497500 13121875 26243750 52487500