Search a number
-
+
2128772832 = 253138116057
BaseRepresentation
bin111111011100010…
…0111111011100000
312111100122212100020
41332320213323200
513324431212312
6551122553440
7103516161534
oct17670477340
95440585306
102128772832
119a270059a
124b4b08880
1327c0533c4
14162a19bc4
15c6d4c78c
hex7ee27ee0

2128772832 has 48 divisors (see below), whose sum is σ = 5592423312. Its totient is φ = 709032960.

The previous prime is 2128772831. The next prime is 2128772839. The reversal of 2128772832 is 2382778212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21287728322 = 9063347540522600448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128772831) 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 7 ways as a sum of consecutive naturals, for example, 124548 + ... + 140604.

It is an arithmetic number, because the mean of its divisors is an integer number (116508819).

Almost surely, 22128772832 is an apocalyptic number.

It is an amenable number.

2128772832 is an abundant number, since it is smaller than the sum of its proper divisors (3463650480).

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

2128772832 is a wasteful number, since it uses less digits than its factorization.

2128772832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17451 (or 17443 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 2128772832 is about 46138.6262474296. The cubic root of 2128772832 is about 1286.4012092820.

The spelling of 2128772832 in words is "two billion, one hundred twenty-eight million, seven hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1381 2762 4143 5524 8286 11048 16057 16572 22096 32114 33144 44192 48171 64228 66288 96342 128456 132576 192684 256912 385368 513824 770736 1541472 22174717 44349434 66524151 88698868 133048302 177397736 266096604 354795472 532193208 709590944 1064386416 2128772832