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495383040 = 293452389
BaseRepresentation
bin11101100001101…
…111001000000000
31021112011001210000
4131201233020000
52003304224130
6121053440000
715163454265
oct3541571000
91245131700
10495383040
112346a3679
12119aa0000
137b829779
1449b1326c
152d755260
hex1d86f200

495383040 has 200 divisors, whose sum is σ = 1775048220. Its totient is φ = 132046848.

The previous prime is 495383027. The next prime is 495383051. The reversal of 495383040 is 40383594.

It can be written as a sum of positive squares in 2 ways, for example, as 472801536 + 22581504 = 21744^2 + 4752^2 .

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 = 495382986 and 495383004.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206166 + ... + 208554.

Almost surely, 2495383040 is an apocalyptic number.

495383040 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 495383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887524110).

495383040 is an abundant number, since it is smaller than the sum of its proper divisors (1279665180).

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

495383040 is an equidigital number, since it uses as much as digits as its factorization.

495383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 495383040 is about 22257.2019804826. The cubic root of 495383040 is about 791.2499786618.

The spelling of 495383040 in words is "four hundred ninety-five million, three hundred eighty-three thousand, forty".