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2528214208 = 26139731327
BaseRepresentation
bin1001011010110001…
…0111110011000000
320112012021120220021
42112230113303000
520134210323313
61054512223224
7116436315622
oct22654276300
96465246807
102528214208
111088124833
125a683ab14
13313a2a650
1419dab6c12
15ebe5078d
hex96b17cc0

2528214208 has 56 divisors (see below), whose sum is σ = 5458716032. Its totient is φ = 1154801664.

The previous prime is 2528214203. The next prime is 2528214209. The reversal of 2528214208 is 8024128252.

It is not an unprimeable number, because it can be changed into a prime (2528214203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65041 + ... + 96367.

It is an arithmetic number, because the mean of its divisors is an integer number (97477072).

Almost surely, 22528214208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2528214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729358016).

2528214208 is an abundant number, since it is smaller than the sum of its proper divisors (2930501824).

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

2528214208 is a wasteful number, since it uses less digits than its factorization.

2528214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31449 (or 31439 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 2528214208 is about 50281.3504989673. The cubic root of 2528214208 is about 1362.2953970242.

The spelling of 2528214208 in words is "two billion, five hundred twenty-eight million, two hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 194 208 388 416 776 832 1261 1552 2522 3104 5044 6208 10088 20176 31327 40352 62654 80704 125308 250616 407251 501232 814502 1002464 1629004 2004928 3038719 3258008 6077438 6516016 12154876 13032032 24309752 26064064 39503347 48619504 79006694 97239008 158013388 194478016 316026776 632053552 1264107104 2528214208