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495041328 = 24332349823
BaseRepresentation
bin11101100000011…
…011101100110000
31021111111201001000
4131200123230300
52003212310303
6121042242000
715160532115
oct3540335460
91244451030
10495041328
1123448a971
12119956300
137b73a082
1449a6490c
152d6d8da3
hex1d81bb30

495041328 has 80 divisors (see below), whose sum is σ = 1482762240. Its totient is φ = 157836096.

The previous prime is 495041321. The next prime is 495041341. The reversal of 495041328 is 823140594.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 495041292 and 495041301.

It is not an unprimeable number, because it can be changed into a prime (495041321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14976 + ... + 34847.

It is an arithmetic number, because the mean of its divisors is an integer number (18534528).

Almost surely, 2495041328 is an apocalyptic number.

495041328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

495041328 is an abundant number, since it is smaller than the sum of its proper divisors (987720912).

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

495041328 is a wasteful number, since it uses less digits than its factorization.

495041328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49863 (or 49851 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 495041328 is about 22249.5242196322. The cubic root of 495041328 is about 791.0680037835.

The spelling of 495041328 in words is "four hundred ninety-five million, forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 49823 99646 149469 199292 298938 398584 448407 597876 797168 896814 1145929 1195752 1345221 1793628 2291858 2391504 2690442 3437787 3587256 4583716 5380884 6875574 7174512 9167432 10313361 10761768 13751148 18334864 20626722 21523536 27502296 30940083 41253444 55004592 61880166 82506888 123760332 165013776 247520664 495041328