Search a number
-
+
2505030208 = 262913110303
BaseRepresentation
bin1001010101001111…
…1011101001000000
320110120122201102121
42111103323221000
520112241431313
61052323254024
7116035256032
oct22523735100
96416581377
102505030208
11107602a2aa
1259ab1a314
1330bca0bc5
1419a99dc52
15e9dc128d
hex954fba40

2505030208 has 56 divisors (see below), whose sum is σ = 5182087680. Its totient is φ = 1199976960.

The previous prime is 2505030173. The next prime is 2505030233. The reversal of 2505030208 is 8020305052.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237985 + ... + 248287.

It is an arithmetic number, because the mean of its divisors is an integer number (92537280).

Almost surely, 22505030208 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 2505030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591043840).

2505030208 is an abundant number, since it is smaller than the sum of its proper divisors (2677057472).

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

2505030208 is a wasteful number, since it uses less digits than its factorization.

2505030208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10475 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2505030208 is about 50050.2768024314. The cubic root of 2505030208 is about 1358.1184708118.

The spelling of 2505030208 in words is "two billion, five hundred five million, thirty thousand, two hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 131 232 262 464 524 928 1048 1856 2096 3799 4192 7598 8384 10303 15196 20606 30392 41212 60784 82424 121568 164848 243136 298787 329696 597574 659392 1195148 1349693 2390296 2699386 4780592 5398772 9561184 10797544 19122368 21595088 39141097 43190176 78282194 86380352 156564388 313128776 626257552 1252515104 2505030208