Search a number
-
+
2064451792 = 241361162709
BaseRepresentation
bin111101100001101…
…0000100011010000
312022212122000110111
41323003100203100
513211444424132
6540504211104
7102105356614
oct17303204320
95285560414
102064451792
1196a369207
12497469a94
1326b922710
14158275344
15c1394647
hex7b0d08d0

2064451792 has 40 divisors (see below), whose sum is σ = 4378200680. Its totient is φ = 937198080.

The previous prime is 2064451777. The next prime is 2064451799. The reversal of 2064451792 is 2971544602.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 2062613056 = 1356^2 + 45416^2 .

It is a super-2 number, since 2×20644517922 = 8523922402984022528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064451799) 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 7 ways as a sum of consecutive naturals, for example, 68667 + ... + 94042.

It is an arithmetic number, because the mean of its divisors is an integer number (109455017).

Almost surely, 22064451792 is an apocalyptic number.

It is an amenable number.

2064451792 is an abundant number, since it is smaller than the sum of its proper divisors (2313748888).

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

2064451792 is a wasteful number, since it uses less digits than its factorization.

2064451792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162791 (or 162785 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 2064451792 is about 45436.2387527841. The cubic root of 2064451792 is about 1273.3122442590.

The spelling of 2064451792 in words is "two billion, sixty-four million, four hundred fifty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 3172 6344 12688 162709 325418 650836 1301672 2115217 2603344 4230434 8460868 9925249 16921736 19850498 33843472 39700996 79401992 129028237 158803984 258056474 516112948 1032225896 2064451792