Search a number
-
+
4505875296 = 253132172312
BaseRepresentation
bin1000011001001001…
…00011001101100000
3102122000121011220020
410030210203031200
533212001002141
62023040313440
7216442210446
oct41444431540
912560534806
104505875296
111a024a388a
12a59012880
1356a682b00
1430a5d8b96
151b589e266
hex10c923360

4505875296 has 324 divisors, whose sum is σ = 14058508716. Its totient is φ = 1262776320.

The previous prime is 4505875267. The next prime is 4505875307. The reversal of 4505875296 is 6925785054.

It is a super-3 number, since 3×45058752963 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 145350801 + ... + 145350831.

It is an arithmetic number, because the mean of its divisors is an integer number (43390459).

Almost surely, 24505875296 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 4505875296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029254358).

4505875296 is an abundant number, since it is smaller than the sum of its proper divisors (9552633420).

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

4505875296 is a wasteful number, since it uses less digits than its factorization.

4505875296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The square root of 4505875296 is about 67125.8169112302. The cubic root of 4505875296 is about 1651.6818230823.

It can be divided in two parts, 4505 and 875296, that added together give a triangular number (879801 = T1326).

The spelling of 4505875296 in words is "four billion, five hundred five million, eight hundred seventy-five thousand, two hundred ninety-six".