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495024640 = 2951117579
BaseRepresentation
bin11101100000010…
…111101000000000
31021111110212010221
4131200113220000
52003211242030
6121042032424
715160432345
oct3540275000
91244425127
10495024640
11234479380
12119948714
137b7325b6
1449a5c7cc
152d6d3e7a
hex1d817a00

495024640 has 80 divisors (see below), whose sum is σ = 1294872480. Its totient is φ = 179998720.

The previous prime is 495024631. The next prime is 495024641. The reversal of 495024640 is 46420594.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 495024596 and 495024605.

It is not an unprimeable number, because it can be changed into a prime (495024641) 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 7 ways as a sum of consecutive naturals, for example, 19371 + ... + 36949.

It is an arithmetic number, because the mean of its divisors is an integer number (16185906).

Almost surely, 2495024640 is an apocalyptic number.

495024640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647436240).

495024640 is an abundant number, since it is smaller than the sum of its proper divisors (799847840).

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

495024640 is a wasteful number, since it uses less digits than its factorization.

495024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17613 (or 17597 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 495024640 is about 22249.1491972165. The cubic root of 495024640 is about 791.0591146326.

The spelling of 495024640 in words is "four hundred ninety-five million, twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 17579 28160 35158 70316 87895 140632 175790 193369 281264 351580 386738 562528 703160 773476 966845 1125056 1406320 1546952 1933690 2250112 2812640 3093904 3867380 4500224 5625280 6187808 7734760 9000448 11250560 12375616 15469520 22501120 24751232 30939040 45002240 49502464 61878080 99004928 123756160 247512320 495024640