Search a number
-
+
5938860096 = 2632134192
BaseRepresentation
bin1011000011111101…
…11101000001000000
3120022220000100111100
411201332331001000
544130322010341
62421150214400
7300112322631
oct54176750100
916286010440
105938860096
112578371544
121198ab4400
13738510000
14404a55888
1524b5ac3b6
hex161fbd040

5938860096 has 315 divisors, whose sum is σ = 19462848171. Its totient is φ = 1731165696.

The previous prime is 5938860023. The next prime is 5938860119. The reversal of 5938860096 is 6900688395.

The square root of 5938860096 is 77064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2944581696 + 2994278400 = 54264^2 + 54720^2 .

It is a super-2 number, since 2×59388600962 = 70540118479722258432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 312571575 + ... + 312571593.

Almost surely, 25938860096 is an apocalyptic number.

5938860096 is the 77064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5938860096

5938860096 is an abundant number, since it is smaller than the sum of its proper divisors (13523988075).

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

5938860096 is an equidigital number, since it uses as much as digits as its factorization.

5938860096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The cubic root of 5938860096 is about 1810.9273654006.

The spelling of 5938860096 in words is "five billion, nine hundred thirty-eight million, eight hundred sixty thousand, ninety-six".