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495342540 = 223457112192
BaseRepresentation
bin11101100001100…
…101001111001100
31021112002000020000
4131201211033030
52003301430130
6121052524300
715163225230
oct3541451714
91245060200
10495342540
11234676200
12119a80690
137b8141c4
1449b025c0
152d748260
hex1d8653cc

495342540 has 540 divisors, whose sum is σ = 2060161488. Its totient is φ = 97511040.

The previous prime is 495342539. The next prime is 495342563. The reversal of 495342540 is 45243594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

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 = 495342495 and 495342504.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 26070651 + ... + 26070669.

Almost surely, 2495342540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495342540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030080744).

495342540 is an abundant number, since it is smaller than the sum of its proper divisors (1564818948).

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

495342540 is a wasteful number, since it uses less digits than its factorization.

495342540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 495342540 is about 22256.2921440208. The cubic root of 495342540 is about 791.2284152150.

The spelling of 495342540 in words is "four hundred ninety-five million, three hundred forty-two thousand, five hundred forty".