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490489608 = 233721133691
BaseRepresentation
bin11101001111000…
…100011100001000
31021011221110020210
4131033010130020
52001031131413
6120400521120
715104043600
oct3517043410
91234843223
10490489608
11231961114
121183201a0
137a80534b
14491dbc00
152d0da3c3
hex1d3c4708

490489608 has 96 divisors (see below), whose sum is σ = 1439436960. Its totient is φ = 138862080.

The previous prime is 490489589. The next prime is 490489639. The reversal of 490489608 is 806984094.

It is a Cunningham number, because it is equal to 221472-1.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 131043 + ... + 134733.

It is an arithmetic number, because the mean of its divisors is an integer number (14994135).

Almost surely, 2490489608 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 490489608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719718480).

490489608 is an abundant number, since it is smaller than the sum of its proper divisors (948947352).

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

490489608 is a wasteful number, since it uses less digits than its factorization.

490489608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 490489608 is about 22146.9999774236. Note that the first 4 decimals coincide. The cubic root of 490489608 is about 788.6360098412.

The spelling of 490489608 in words is "four hundred ninety million, four hundred eighty-nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 113 147 168 196 226 294 339 392 452 588 678 791 904 1176 1356 1582 2373 2712 3164 3691 4746 5537 6328 7382 9492 11073 11074 14764 16611 18984 22146 22148 25837 29528 33222 44292 44296 51674 66444 77511 88584 103348 132888 155022 180859 206696 310044 361718 417083 542577 620088 723436 834166 1085154 1251249 1446872 1668332 2170308 2502498 2919581 3336664 4340616 5004996 5839162 8758743 10009992 11678324 17517486 20437067 23356648 35034972 40874134 61311201 70069944 81748268 122622402 163496536 245244804 490489608