Search a number
-
+
2528872720 = 2451114292011
BaseRepresentation
bin1001011010111011…
…1000100100010000
320112020112001012121
42112232320210100
520134342411340
61054534304024
7116445030523
oct22656704420
96466461177
102528872720
111088534560
125a6ab8014
13313bcb2ba
1419dc08bba
15ec03094a
hex96bb8910

2528872720 has 80 divisors (see below), whose sum is σ = 6421821120. Its totient is φ = 918489600.

The previous prime is 2528872711. The next prime is 2528872721. The reversal of 2528872720 is 272788252.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2528872721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256515 + ... + 1258525.

It is an arithmetic number, because the mean of its divisors is an integer number (80272764).

Almost surely, 22528872720 is an apocalyptic number.

2528872720 is a gapful number since it is divisible by the number (20) 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 2528872720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210910560).

2528872720 is an abundant number, since it is smaller than the sum of its proper divisors (3892948400).

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

2528872720 is a wasteful number, since it uses less digits than its factorization.

2528872720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The square root of 2528872720 is about 50287.8983454270. The cubic root of 2528872720 is about 1362.4136636369.

The spelling of 2528872720 in words is "two billion, five hundred twenty-eight million, eight hundred seventy-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1429 2011 2858 4022 5716 7145 8044 10055 11432 14290 15719 16088 20110 22121 22864 28580 31438 32176 40220 44242 57160 62876 78595 80440 88484 110605 114320 125752 157190 160880 176968 221210 251504 314380 353936 442420 628760 884840 1257520 1769680 2873719 5747438 11494876 14368595 22989752 28737190 31610909 45979504 57474380 63221818 114948760 126443636 158054545 229897520 252887272 316109090 505774544 632218180 1264436360 2528872720