Search a number
-
+
5973019904 = 28178531609
BaseRepresentation
bin1011001000000010…
…10000110100000000
3120102021021211221102
411210001100310000
544213043114104
62424410313532
7301005555125
oct54401206400
916367254842
105973019904
112595683295
1211a84288a8
13742610507
144093c874c
1524e5a8a1e
hex164050d00

5973019904 has 72 divisors (see below), whose sum is σ = 12646698120. Its totient is φ = 2805792768.

The previous prime is 5973019807. The next prime is 5973019909. The reversal of 5973019904 is 4099103795.

It can be written as a sum of positive squares in 4 ways, for example, as 1831840000 + 4141179904 = 42800^2 + 64352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5973019909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3711452 + ... + 3713060.

It is an arithmetic number, because the mean of its divisors is an integer number (175648585).

Almost surely, 25973019904 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 5973019904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323349060).

5973019904 is an abundant number, since it is smaller than the sum of its proper divisors (6673678216).

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

5973019904 is a wasteful number, since it uses less digits than its factorization.

5973019904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 47.

The square root of 5973019904 is about 77285.3149311045. The cubic root of 5973019904 is about 1814.3928285495.

The spelling of 5973019904 in words is "five billion, nine hundred seventy-three million, nineteen thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 853 1088 1609 1706 2176 3218 3412 4352 6436 6824 12872 13648 14501 25744 27296 27353 29002 51488 54592 54706 58004 102976 109184 109412 116008 205952 218368 218824 232016 411904 437648 464032 875296 928064 1372477 1750592 1856128 2744954 3501184 3712256 5489908 7002368 10979816 21959632 23332109 43919264 46664218 87838528 93328436 175677056 186656872 351354112 373313744 746627488 1493254976 2986509952 5973019904