Search a number
-
+
4644733920 = 2535191134507
BaseRepresentation
bin1000101001101100…
…10000001111100000
3102222200212221010020
410110312100033200
534003022441140
62044520433440
7223046405211
oct42466201740
912880787106
104644733920
111a73916382
12a97618880
13590380788
14320c23408
151c2b7c6d0
hex114d903e0

4644733920 has 192 divisors, whose sum is σ = 15540698880. Its totient is φ = 1162764288.

The previous prime is 4644733883. The next prime is 4644733921. The reversal of 4644733920 is 293374464.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4644733921) 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 31 ways as a sum of consecutive naturals, for example, 1028307 + ... + 1032813.

It is an arithmetic number, because the mean of its divisors is an integer number (80941140).

Almost surely, 24644733920 is an apocalyptic number.

4644733920 is a gapful number since it is divisible by the number (40) 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 4644733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770349440).

4644733920 is an abundant number, since it is smaller than the sum of its proper divisors (10895964960).

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

4644733920 is a wasteful number, since it uses less digits than its factorization.

4644733920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 4644733920 is about 68152.2847746134. The cubic root of 4644733920 is about 1668.4772139500.

The spelling of 4644733920 in words is "four billion, six hundred forty-four million, seven hundred thirty-three thousand, nine hundred twenty".