Search a number
-
+
2082735445 = 5741923397
BaseRepresentation
bin111110000100100…
…0000010101010101
312101011000220220211
41330021000111111
513231140013240
6542400125421
7102416650000
oct17411002525
95334026824
102082735445
11979716a6a
124a1606871
1327265484b
1415a874537
15c2ca6bea
hex7c240555

2082735445 has 80 divisors (see below), whose sum is σ = 3210618240. Its totient is φ = 1290909312.

The previous prime is 2082735437. The next prime is 2082735449. The reversal of 2082735445 is 5445372802.

It is not a de Polignac number, because 2082735445 - 23 = 2082735437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2082735398 and 2082735407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082735449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5245987 + ... + 5246383.

It is an arithmetic number, because the mean of its divisors is an integer number (40132728).

Almost surely, 22082735445 is an apocalyptic number.

It is an amenable number.

2082735445 is a deficient number, since it is larger than the sum of its proper divisors (1127882795).

2082735445 is an equidigital number, since it uses as much as digits as its factorization.

2082735445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The square root of 2082735445 is about 45636.9964502486. The cubic root of 2082735445 is about 1277.0601976411.

The spelling of 2082735445 in words is "two billion, eighty-two million, seven hundred thirty-five thousand, four hundred forty-five".

Divisors: 1 5 7 19 23 35 49 95 115 133 161 245 343 397 437 665 805 931 1127 1715 1985 2185 2401 2779 3059 4655 5635 6517 7543 7889 9131 12005 13895 15295 19453 21413 32585 37715 39445 45619 45655 52801 55223 63917 97265 107065 136171 149891 173489 228095 264005 276115 319585 369607 447419 680855 749455 867445 953197 1049237 1214423 1848035 2237095 2587249 3131933 4765985 5246185 6072115 8500961 12936245 15659665 18110743 21923531 42504805 59506727 90553715 109617655 297533635 416547089 2082735445