Search a number
-
+
4983545952 = 2533711173433
BaseRepresentation
bin1001010010000101…
…01110000001100000
3110212022102100212000
410221002232001200
540201241432302
62142302404000
7234332304330
oct45102560140
913768370760
104983545952
112128099920
12b70b90600
1361561a478
14353c1b0c0
151e27a631c
hex1290ae060

4983545952 has 384 divisors, whose sum is σ = 18268830720. Its totient is φ = 1283973120.

The previous prime is 4983545951. The next prime is 4983545993. The reversal of 4983545952 is 2595453894.

4983545952 is a `hidden beast` number, since 4 + 9 + 8 + 3 + 545 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4983545951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11509128 + ... + 11509560.

It is an arithmetic number, because the mean of its divisors is an integer number (47575080).

Almost surely, 24983545952 is an apocalyptic number.

4983545952 is a gapful number since it is divisible by the number (42) 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 4983545952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9134415360).

4983545952 is an abundant number, since it is smaller than the sum of its proper divisors (13285284768).

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

4983545952 is a wasteful number, since it uses less digits than its factorization.

4983545952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The square root of 4983545952 is about 70594.2345521219. The cubic root of 4983545952 is about 1708.0981502574.

The spelling of 4983545952 in words is "four billion, nine hundred eighty-three million, five hundred forty-five thousand, nine hundred fifty-two".