Search a number
-
+
2033482752 = 21033721979
BaseRepresentation
bin111100100110100…
…0111110000000000
312020201100121221000
41321031013300000
513131032422002
6533440332000
7101251214100
oct17115076000
95221317830
102033482752
11953936764
12489014000
1326539b642
141540d3200
15bd7c861c
hex79347c00

2033482752 has 528 divisors, whose sum is σ = 7467456000. Its totient is φ = 543449088.

The previous prime is 2033482751. The next prime is 2033482757. The reversal of 2033482752 is 2572843302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033482751) 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 47 ways as a sum of consecutive naturals, for example, 25740249 + ... + 25740327.

Almost surely, 22033482752 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 2033482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733728000).

2033482752 is an abundant number, since it is smaller than the sum of its proper divisors (5433973248).

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

2033482752 is a wasteful number, since it uses less digits than its factorization.

2033482752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2033482752 is about 45094.1542996429. The cubic root of 2033482752 is about 1266.9131122818.

The spelling of 2033482752 in words is "two billion, thirty-three million, four hundred eighty-two thousand, seven hundred fifty-two".