Search a number
-
+
2056632192 = 27322118461
BaseRepresentation
bin111101010010101…
…1011011110000000
312022022220201222200
41322211123132000
513202444212232
6540024433200
7101652041136
oct17245333600
95268821880
102056632192
11965a0822a
12494918800
1326a115434
141571db756
15c084c77c
hex7a95b780

2056632192 has 96 divisors (see below), whose sum is σ = 5946924360. Its totient is φ = 682214400.

The previous prime is 2056632191. The next prime is 2056632197. The reversal of 2056632192 is 2912366502.

2056632192 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 632 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056632191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238842 + ... + 247302.

Almost surely, 22056632192 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 2056632192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973462180).

2056632192 is an abundant number, since it is smaller than the sum of its proper divisors (3890292168).

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

2056632192 is a wasteful number, since it uses less digits than its factorization.

2056632192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2056632192 is about 45350.1068576470. The cubic root of 2056632192 is about 1271.7025529727.

Adding to 2056632192 its reverse (2912366502), we get a palindrome (4968998694).

The spelling of 2056632192 in words is "two billion, fifty-six million, six hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 288 384 422 576 633 844 1152 1266 1688 1899 2532 3376 3798 5064 6752 7596 8461 10128 13504 15192 16922 20256 25383 27008 30384 33844 40512 50766 60768 67688 76149 81024 101532 121536 135376 152298 203064 243072 270752 304596 406128 541504 609192 812256 1083008 1218384 1624512 1785271 2436768 3249024 3570542 4873536 5355813 7141084 9747072 10711626 14282168 16067439 21423252 28564336 32134878 42846504 57128672 64269756 85693008 114257344 128539512 171386016 228514688 257079024 342772032 514158048 685544064 1028316096 2056632192