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490871268 = 223259231107
BaseRepresentation
bin11101010000100…
…001100111100100
31021012122211210100
4131100201213210
52001130340033
6120413024100
715110223366
oct3520414744
91235584710
10490871268
112320a1938
12118485030
137a909c94
144929ad36
152d163513
hex1d4219e4

490871268 has 36 divisors (see below), whose sum is σ = 1261849680. Its totient is φ = 160849776.

The previous prime is 490871263. The next prime is 490871281. The reversal of 490871268 is 862178094.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (490871261) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 113430 + ... + 117677.

It is an arithmetic number, because the mean of its divisors is an integer number (35051380).

Almost surely, 2490871268 is an apocalyptic number.

It is an amenable number.

490871268 is an abundant number, since it is smaller than the sum of its proper divisors (770978412).

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

490871268 is a wasteful number, since it uses less digits than its factorization.

490871268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231176 (or 231171 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 490871268 is about 22155.6148188219. The cubic root of 490871268 is about 788.8405080809.

It can be divided in two parts, 4908 and 71268, that added together give a square (76176 = 2762).

The spelling of 490871268 in words is "four hundred ninety million, eight hundred seventy-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 231107 462214 693321 924428 1386642 2079963 2773284 4159926 8319852 13635313 27270626 40905939 54541252 81811878 122717817 163623756 245435634 490871268