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492331840 = 265711132953
BaseRepresentation
bin11101010110000…
…110001101000000
31021022102001022121
4131112012031000
52002014104330
6120504214024
715125515540
oct3526061500
91238361277
10492331840
112329aa220
12118a6a314
137accba20
144955b320
152d35117a
hex1d586340

492331840 has 448 divisors, whose sum is σ = 1659087360. Its totient is φ = 134184960.

The previous prime is 492331837. The next prime is 492331841. The reversal of 492331840 is 48133294.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 492331796 and 492331805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492331841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9289254 + ... + 9289306.

It is an arithmetic number, because the mean of its divisors is an integer number (3703320).

Almost surely, 2492331840 is an apocalyptic number.

492331840 is a gapful number since it is divisible by the number (40) 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 492331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829543680).

492331840 is an abundant number, since it is smaller than the sum of its proper divisors (1166755520).

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

492331840 is a wasteful number, since it uses less digits than its factorization.

492331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 492331840 is about 22188.5520032291. The cubic root of 492331840 is about 789.6221233990.

It can be divided in two parts, 4923 and 31840, that added together give a palindrome (36763).

The spelling of 492331840 in words is "four hundred ninety-two million, three hundred thirty-one thousand, eight hundred forty".