Search a number
-
+
495490608 = 2435314111
BaseRepresentation
bin11101100010001…
…001011000110000
31021112100112100000
4131202021120300
52003321144413
6121100030000
715164413014
oct3542113060
91245315300
10495490608
11234767478
12119b32300
137b866712
1449b40544
152d777073
hex1d889630

495490608 has 120 divisors (see below), whose sum is σ = 1484793856. Its totient is φ = 159796800.

The previous prime is 495490579. The next prime is 495490609. The reversal of 495490608 is 806094594.

It is a happy number.

495490608 is a `hidden beast` number, since 49 + 549 + 0 + 60 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (495490609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118473 + ... + 122583.

Almost surely, 2495490608 is an apocalyptic number.

495490608 is a gapful number since it is divisible by the number (48) 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 495490608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742396928).

495490608 is an abundant number, since it is smaller than the sum of its proper divisors (989303248).

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

495490608 is a wasteful number, since it uses less digits than its factorization.

495490608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 495490608 is about 22259.6183255688. The cubic root of 495490608 is about 791.3072454708.

The spelling of 495490608 in words is "four hundred ninety-five million, four hundred ninety thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 744 837 972 1116 1296 1488 1674 1944 2232 2511 3348 3888 4111 4464 5022 6696 7533 8222 10044 12333 13392 15066 16444 20088 24666 30132 32888 36999 40176 49332 60264 65776 73998 98664 110997 120528 127441 147996 197328 221994 254882 295992 332991 382323 443988 509764 591984 665982 764646 887976 998973 1019528 1146969 1331964 1529292 1775952 1997946 2039056 2293938 2663928 3058584 3440907 3995892 4587876 5327856 6117168 6881814 7991784 9175752 10322721 13763628 15983568 18351504 20645442 27527256 30968163 41290884 55054512 61936326 82581768 123872652 165163536 247745304 495490608