Search a number
-
+
2127423376 = 241328872
BaseRepresentation
bin111111011001101…
…1110011110010000
312111021010022020101
41332303132132100
513324110022001
6551034022144
7103501541341
oct17663363620
95437108211
102127423376
119a1969741
124b4577954
1327b9a0100
141627880c8
15c6b82a01
hex7ecde790

2127423376 has 45 divisors (see below), whose sum is σ = 4468378161. Its totient is φ = 980780736.

The previous prime is 2127423359. The next prime is 2127423377. The reversal of 2127423376 is 6733247212.

The square root of 2127423376 is 46124.

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

It can be written as a sum of positive squares in only one way, i.e., 314707600 + 1812715776 = 17740^2 + 42576^2 .

It is not an unprimeable number, because it can be changed into a prime (2127423377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2398005 + ... + 2398891.

Almost surely, 22127423376 is an apocalyptic number.

2127423376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2127423376 is the 46124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2127423376

2127423376 is an abundant number, since it is smaller than the sum of its proper divisors (2340954785).

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

2127423376 is an frugal number, since it uses more digits than its factorization.

2127423376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 902 counting only the distinct ones).

The product of its digits is 84672, while the sum is 37.

The cubic root of 2127423376 is about 1286.1293298303.

It can be divided in two parts, 2127 and 423376, that added together give a triangular number (425503 = T922).

The spelling of 2127423376 in words is "two billion, one hundred twenty-seven million, four hundred twenty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 887 1352 1774 2704 3548 7096 11531 14192 23062 46124 92248 149903 184496 299806 599612 786769 1199224 1573538 2398448 3147076 6294152 10227997 12588304 20455994 40911988 81823976 132963961 163647952 265927922 531855844 1063711688 2127423376