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492923904 = 21031129503
BaseRepresentation
bin11101011000010…
…110110000000000
31021100112010110220
4131120112300000
52002142031104
6120525023040
715133532634
oct3530266000
91240463426
10492923904
11233274030
121190b4a80
137b178365
1449672dc4
152d41b7d9
hex1d616c00

492923904 has 176 divisors, whose sum is σ = 1485630720. Its totient is φ = 143933440.

The previous prime is 492923887. The next prime is 492923909. The reversal of 492923904 is 409329294.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (492923909) 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 15 ways as a sum of consecutive naturals, for example, 979717 + ... + 980219.

Almost surely, 2492923904 is an apocalyptic number.

492923904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492923904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742815360).

492923904 is an abundant number, since it is smaller than the sum of its proper divisors (992706816).

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

492923904 is a wasteful number, since it uses less digits than its factorization.

492923904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 492923904 is about 22201.8896493069. The cubic root of 492923904 is about 789.9385221614.

The spelling of 492923904 in words is "four hundred ninety-two million, nine hundred twenty-three thousand, nine hundred four".