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492947712 = 2832213953
BaseRepresentation
bin11101011000011…
…100100100000000
31021100120100010200
4131120130210000
52002143311322
6120525325200
715133662225
oct3530344400
91240510120
10492947712
1123328aa04
12119106800
137b18614a
144967b94c
152d4238ac
hex1d61c900

492947712 has 54 divisors (see below), whose sum is σ = 1421296422. Its totient is φ = 164315136.

The previous prime is 492947711. The next prime is 492947729. The reversal of 492947712 is 217749294.

It is a happy number.

492947712 is a `hidden beast` number, since 492 + 94 + 7 + 71 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 327465216 + 165482496 = 18096^2 + 12864^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (492947711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104673 + ... + 109280.

Almost surely, 2492947712 is an apocalyptic number.

It is an amenable number.

492947712 is an abundant number, since it is smaller than the sum of its proper divisors (928348710).

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

492947712 is a wasteful number, since it uses less digits than its factorization.

492947712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213975 (or 213958 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 492947712 is about 22202.4258134106. The cubic root of 492947712 is about 789.9512398469.

The spelling of 492947712 in words is "four hundred ninety-two million, nine hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 213953 427906 641859 855812 1283718 1711624 1925577 2567436 3423248 3851154 5134872 6846496 7702308 10269744 13692992 15404616 20539488 27385984 30809232 41078976 54771968 61618464 82157952 123236928 164315904 246473856 492947712