Search a number
-
+
2989633374 = 23772132937
BaseRepresentation
bin1011001000110010…
…0010111101011110
321201100112010000000
42302030202331132
522110321231444
61212354115130
7134041315200
oct26214427536
97640463000
102989633374
1112a462a892
126b527baa6
133884c4b40
142050a8770
151276e7469
hexb2322f5e

2989633374 has 384 divisors, whose sum is σ = 8951644800. Its totient is φ = 740710656.

The previous prime is 2989633373. The next prime is 2989633391. The reversal of 2989633374 is 4733369892.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2989633374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2989633373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80800884 + ... + 80800920.

It is an arithmetic number, because the mean of its divisors is an integer number (23311575).

Almost surely, 22989633374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2989633374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475822400).

2989633374 is an abundant number, since it is smaller than the sum of its proper divisors (5962011426).

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

2989633374 is a wasteful number, since it uses less digits than its factorization.

2989633374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 2989633374 is about 54677.5399410032. The cubic root of 2989633374 is about 1440.5864017960.

The spelling of 2989633374 in words is "two billion, nine hundred eighty-nine million, six hundred thirty-three thousand, three hundred seventy-four".