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490766976 = 2732760859
BaseRepresentation
bin11101010000001…
…000001010000000
31021012110112201200
4131100020022000
52001114020401
6120410501200
715106310340
oct3520101200
91235415650
10490766976
11232030547
12118434800
137a8a167b
1449270d20
152d142686
hex1d408280

490766976 has 96 divisors (see below), whose sum is σ = 1614007200. Its totient is φ = 140216832.

The previous prime is 490766959. The next prime is 490766977. The reversal of 490766976 is 679667094.

490766976 is a `hidden beast` number, since 490 + 7 + 66 + 97 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (490766977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22366 + ... + 38493.

It is an arithmetic number, because the mean of its divisors is an integer number (16812575).

Almost surely, 2490766976 is an apocalyptic number.

It is an amenable number.

490766976 is an abundant number, since it is smaller than the sum of its proper divisors (1123240224).

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

490766976 is a wasteful number, since it uses less digits than its factorization.

490766976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60886 (or 60871 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 490766976 is about 22153.2610691970. The cubic root of 490766976 is about 788.7846376408.

The spelling of 490766976 in words is "four hundred ninety million, seven hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 60859 121718 182577 243436 365154 426013 486872 547731 730308 852026 973744 1095462 1278039 1460616 1704052 1947488 2190924 2556078 2921232 3408104 3834117 3894976 4381848 5112156 5842464 6816208 7668234 7789952 8763696 10224312 11684928 13632416 15336468 17527392 20448624 23369856 27264832 30672936 35054784 40897248 54529664 61345872 70109568 81794496 122691744 163588992 245383488 490766976