Search a number
-
+
4245516288 = 21233132953
BaseRepresentation
bin1111110100001101…
…0111000000000000
3101221212200120111000
43331003113000000
532143323010123
61541140052000
7210131202336
oct37503270000
911855616430
104245516288
111889535252
129a5994000
13528754320
142c3bc3b56
1519cac0b43
hexfd0d7000

4245516288 has 208 divisors, whose sum is σ = 13549879840. Its totient is φ = 1305870336.

The previous prime is 4245516283. The next prime is 4245516329. The reversal of 4245516288 is 8826155424.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4245516283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436220 + ... + 1439172.

Almost surely, 24245516288 is an apocalyptic number.

4245516288 is a gapful number since it is divisible by the number (48) 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 4245516288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774939920).

4245516288 is an abundant number, since it is smaller than the sum of its proper divisors (9304363552).

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

4245516288 is a wasteful number, since it uses less digits than its factorization.

4245516288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2971 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 4245516288 is about 65157.6264761079. The cubic root of 4245516288 is about 1619.2360732901.

The spelling of 4245516288 in words is "four billion, two hundred forty-five million, five hundred sixteen thousand, two hundred eighty-eight".