Search a number
-
+
4725435152 = 243122941603
BaseRepresentation
bin1000110011010100…
…00110101100010000
3110012022201222101202
410121222012230100
534134202411102
62100522250332
7225046351604
oct43152065420
913168658352
104725435152
112005426409
12aba6569a8
135a3cc8099
1432b82d504
151c9cbde02
hex119a86b10

4725435152 has 40 divisors (see below), whose sum is σ = 9492368640. Its totient is φ = 2276461440.

The previous prime is 4725435151. The next prime is 4725435167. The reversal of 4725435152 is 2515345274.

It is not an unprimeable number, because it can be changed into a prime (4725435151) 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 7 ways as a sum of consecutive naturals, for example, 92783 + ... + 134385.

It is an arithmetic number, because the mean of its divisors is an integer number (237309216).

Almost surely, 24725435152 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 4725435152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746184320).

4725435152 is an abundant number, since it is smaller than the sum of its proper divisors (4766933488).

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

4725435152 is a wasteful number, since it uses less digits than its factorization.

4725435152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41871 (or 41865 counting only the distinct ones).

The product of its digits is 168000, while the sum is 38.

The square root of 4725435152 is about 68741.8006165099. The cubic root of 4725435152 is about 1678.0849247398.

The spelling of 4725435152 in words is "four billion, seven hundred twenty-five million, four hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 62 124 229 248 458 496 916 1832 3664 7099 14198 28396 41603 56792 83206 113584 166412 332824 665648 1289693 2579386 5158772 9527087 10317544 19054174 20635088 38108348 76216696 152433392 295339697 590679394 1181358788 2362717576 4725435152