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495043296 = 25311571821
BaseRepresentation
bin11101100000011…
…100001011100000
31021111111210201220
4131200130023200
52003212341141
6121042255040
715160540626
oct3540341340
91244453656
10495043296
112344913a0
12119957480
137b73ac37
1449a65516
152d6d9766
hex1d81c2e0

495043296 has 96 divisors (see below), whose sum is σ = 1421836416. Its totient is φ = 149568000.

The previous prime is 495043273. The next prime is 495043331. The reversal of 495043296 is 692340594.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602566 + ... + 603386.

It is an arithmetic number, because the mean of its divisors is an integer number (14810796).

Almost surely, 2495043296 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 495043296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710918208).

495043296 is an abundant number, since it is smaller than the sum of its proper divisors (926793120).

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

495043296 is a wasteful number, since it uses less digits than its factorization.

495043296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 495043296 is about 22249.5684452530. The cubic root of 495043296 is about 791.0690520594.

The spelling of 495043296 in words is "four hundred ninety-five million, forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 571 821 1056 1142 1642 1713 2284 2463 3284 3426 4568 4926 6281 6568 6852 9031 9136 9852 12562 13136 13704 18062 18272 18843 19704 25124 26272 27093 27408 36124 37686 39408 50248 54186 54816 72248 75372 78816 100496 108372 144496 150744 200992 216744 288992 301488 433488 468791 602976 866976 937582 1406373 1875164 2812746 3750328 5156701 5625492 7500656 10313402 11250984 15001312 15470103 20626804 22501968 30940206 41253608 45003936 61880412 82507216 123760824 165014432 247521648 495043296