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496522640 = 2457385021
BaseRepresentation
bin11101100110000…
…101010110010000
31021121021222000102
4131212011112100
52004102211030
6121134111532
715206241605
oct3546052620
91247258012
10496522640
11235301899
1211a34b5a8
137bb383a3
1449d2c6ac
152d8ccc45
hex1d985590

496522640 has 40 divisors (see below), whose sum is σ = 1170242808. Its totient is φ = 195886080.

The previous prime is 496522549. The next prime is 496522673. The reversal of 496522640 is 46225694.

It can be written as a sum of positive squares in 4 ways, for example, as 39589264 + 456933376 = 6292^2 + 21376^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 496522594 and 496522603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36671 + ... + 48350.

Almost surely, 2496522640 is an apocalyptic number.

496522640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496522640 is an abundant number, since it is smaller than the sum of its proper divisors (673720168).

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

496522640 is a wasteful number, since it uses less digits than its factorization.

496522640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85107 (or 85101 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 496522640 is about 22282.7879763732. The cubic root of 496522640 is about 791.8562555846.

The spelling of 496522640 in words is "four hundred ninety-six million, five hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 85021 170042 340084 425105 680168 850210 1360336 1700420 3400840 6206533 6801680 12413066 24826132 31032665 49652264 62065330 99304528 124130660 248261320 496522640