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495196440 = 233523593041
BaseRepresentation
bin11101100001000…
…001100100011000
31021111210120210220
4131201001210120
52003232241230
6121045440040
715162046254
oct3541014430
91244716726
10495196440
11234586462
12119a10020
137b79285b
1449aa5264
152d719d10
hex1d841918

495196440 has 128 divisors (see below), whose sum is σ = 1576972800. Its totient is φ = 124129280.

The previous prime is 495196439. The next prime is 495196447. The reversal of 495196440 is 44691594.

It is a junction number, because it is equal to n+sod(n) for n = 495196392 and 495196401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495196447) 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 31 ways as a sum of consecutive naturals, for example, 161320 + ... + 164360.

It is an arithmetic number, because the mean of its divisors is an integer number (12320100).

Almost surely, 2495196440 is an apocalyptic number.

495196440 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 495196440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788486400).

495196440 is an abundant number, since it is smaller than the sum of its proper divisors (1081776360).

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

495196440 is a wasteful number, since it uses less digits than its factorization.

495196440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 495196440 is about 22253.0096840854. The cubic root of 495196440 is about 791.1506173080.

The spelling of 495196440 in words is "four hundred ninety-five million, one hundred ninety-six thousand, four hundred forty".