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495869056 = 2717317351
BaseRepresentation
bin11101100011100…
…101110010000000
31021120001202110121
4131203211302000
52003420302211
6121112110024
715200550244
oct3543456200
91246052417
10495869056
112349a5841
1211a095314
137b969a57
1449bdc424
152d7ee271
hex1d8e5c80

495869056 has 64 divisors (see below), whose sum is σ = 1079861760. Its totient is φ = 225792000.

The previous prime is 495869053. The next prime is 495869081. The reversal of 495869056 is 650968594.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4958690562 = 491772241396662272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 495868994 and 495869012.

It is not an unprimeable number, because it can be changed into a prime (495869053) by changing a digit.

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, 63781 + ... + 71131.

It is an arithmetic number, because the mean of its divisors is an integer number (16872840).

Almost surely, 2495869056 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 495869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539930880).

495869056 is an abundant number, since it is smaller than the sum of its proper divisors (583992704).

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

495869056 is a wasteful number, since it uses less digits than its factorization.

495869056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413 (or 7401 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The square root of 495869056 is about 22268.1174776854. The cubic root of 495869056 is about 791.5086569129.

The spelling of 495869056 in words is "four hundred ninety-five million, eight hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 496 527 544 992 1054 1088 1984 2108 2176 3968 4216 7351 8432 14702 16864 29404 33728 58808 67456 117616 124967 227881 235232 249934 455762 470464 499868 911524 940928 999736 1823048 1999472 3646096 3873977 3998944 7292192 7747954 7997888 14584384 15495908 15995776 29168768 30991816 61983632 123967264 247934528 495869056