Search a number
-
+
2528087250 = 235313383677
BaseRepresentation
bin1001011010101111…
…1000110011010010
320112012001010202010
42112223320303102
520134142243000
61054505403350
7116435246523
oct22653706322
96465033663
102528087250
111088048407
125a6799556
133139b4920
1419da8284a
15ebe27d50
hex96af8cd2

2528087250 has 128 divisors (see below), whose sum is σ = 6823305216. Its totient is φ = 619756800.

The previous prime is 2528087239. The next prime is 2528087279. The reversal of 2528087250 is 527808252.

It is a happy number.

It is a super-2 number, since 2×25280872502 = 12782450287225125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2528087199 and 2528087208.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3733912 + ... + 3734588.

It is an arithmetic number, because the mean of its divisors is an integer number (53307072).

Almost surely, 22528087250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2528087250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411652608).

2528087250 is an abundant number, since it is smaller than the sum of its proper divisors (4295217966).

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

2528087250 is a wasteful number, since it uses less digits than its factorization.

2528087250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 2528087250 is about 50280.0880070829. The cubic root of 2528087250 is about 1362.2725934193.

The spelling of 2528087250 in words is "two billion, five hundred twenty-eight million, eighty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 125 130 150 195 250 325 375 383 390 650 677 750 766 975 1149 1354 1625 1915 1950 2031 2298 3250 3385 3830 4062 4875 4979 5745 6770 8801 9575 9750 9958 10155 11490 14937 16925 17602 19150 20310 24895 26403 28725 29874 33850 44005 47875 49790 50775 52806 57450 74685 84625 88010 95750 101550 124475 132015 143625 149370 169250 220025 248950 253875 259291 264030 287250 373425 440050 507750 518582 622375 660075 746850 777873 1100125 1244750 1296455 1320150 1555746 1867125 2200250 2592910 3300375 3370783 3734250 3889365 6482275 6600750 6741566 7778730 10112349 12964550 16853915 19446825 20224698 32411375 33707830 38893650 50561745 64822750 84269575 97234125 101123490 168539150 194468250 252808725 421347875 505617450 842695750 1264043625 2528087250