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495286272 = 2113313253
BaseRepresentation
bin11101100001010…
…111100000000000
31021111222011001000
4131201113200000
52003243130042
6121051412000
715162602205
oct3541274000
91244864030
10495286272
112346379a8
12119a54000
137b7c4700
1449ac9cac
152d73674c
hex1d857800

495286272 has 288 divisors, whose sum is σ = 1618671600. Its totient is φ = 149520384.

The previous prime is 495286271. The next prime is 495286277. The reversal of 495286272 is 272682594.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495286271) 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 23 ways as a sum of consecutive naturals, for example, 9344998 + ... + 9345050.

Almost surely, 2495286272 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 495286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809335800).

495286272 is an abundant number, since it is smaller than the sum of its proper divisors (1123385328).

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

495286272 is a wasteful number, since it uses less digits than its factorization.

495286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 495286272 is about 22255.0280161585. The cubic root of 495286272 is about 791.1984544486.

The spelling of 495286272 in words is "four hundred ninety-five million, two hundred eighty-six thousand, two hundred seventy-two".