Search a number
-
+
492051744 = 25321708513
BaseRepresentation
bin11101010101000…
…001110100100000
31021021212211002200
4131111001310200
52001431123434
6120454213200
715123241122
oct3525016440
91237784080
10492051744
11232828838
12118954200
137ac313a2
14494c7212
152d2e8199
hex1d541d20

492051744 has 36 divisors (see below), whose sum is σ = 1399272966. Its totient is φ = 164017152.

The previous prime is 492051743. The next prime is 492051761. The reversal of 492051744 is 447150294.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 466041744 + 26010000 = 21588^2 + 5100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4920517442 = 484229837546883072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 492051699 and 492051708.

It is not an unprimeable number, because it can be changed into a prime (492051743) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 853969 + ... + 854544.

Almost surely, 2492051744 is an apocalyptic number.

It is an amenable number.

492051744 is an abundant number, since it is smaller than the sum of its proper divisors (907221222).

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

492051744 is a wasteful number, since it uses less digits than its factorization.

492051744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708529 (or 1708518 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 492051744 is about 22182.2393819921. The cubic root of 492051744 is about 789.4723518181.

The spelling of 492051744 in words is "four hundred ninety-two million, fifty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1708513 3417026 5125539 6834052 10251078 13668104 15376617 20502156 27336208 30753234 41004312 54672416 61506468 82008624 123012936 164017248 246025872 492051744