Search a number
-
+
4288925616 = 243619715101
BaseRepresentation
bin1111111110100011…
…1100111110110000
3102001220100222212220
43333220330332300
532240431104431
61545330321040
7211166160213
oct37750747660
912056328786
104288925616
111900a94328
129b8429180
13534742911
142c988377a
151a17e7b96
hexffa3cfb0

4288925616 has 80 divisors (see below), whose sum is σ = 11378209248. Its totient is φ = 1391616000.

The previous prime is 4288925587. The next prime is 4288925617. The reversal of 4288925616 is 6165298824.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4288925617) 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, 276466 + ... + 291566.

Almost surely, 24288925616 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 4288925616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689104624).

4288925616 is an abundant number, since it is smaller than the sum of its proper divisors (7089283632).

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

4288925616 is a wasteful number, since it uses less digits than its factorization.

4288925616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15270 (or 15264 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 4288925616 is about 65489.8894181384. The cubic root of 4288925616 is about 1624.7361295885.

The spelling of 4288925616 in words is "four billion, two hundred eighty-eight million, nine hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 97 122 183 194 244 291 366 388 488 582 732 776 976 1164 1464 1552 2328 2928 4656 5917 11834 15101 17751 23668 30202 35502 45303 47336 60404 71004 90606 94672 120808 142008 181212 241616 284016 362424 724848 921161 1464797 1842322 2763483 2929594 3684644 4394391 5526966 5859188 7369288 8788782 11053932 11718376 14738576 17577564 22107864 23436752 35155128 44215728 70310256 89352617 178705234 268057851 357410468 536115702 714820936 1072231404 1429641872 2144462808 4288925616