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490133632 = 273829169
BaseRepresentation
bin11101001101101…
…101100010000000
31021011021100221111
4131031231202000
52000433234012
6120345133104
715101032012
oct3515554200
91234240844
10490133632
1123173871a
1211818a194
137a70c301
14491481b2
152d069ba7
hex1d36d880

490133632 has 16 divisors (see below), whose sum is σ = 976438350. Its totient is φ = 245066752.

The previous prime is 490133627. The next prime is 490133641. The reversal of 490133632 is 236331094.

It can be written as a sum of positive squares in only one way, i.e., 363436096 + 126697536 = 19064^2 + 11256^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×4901336322 = 480461954435022848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 490133594 and 490133603.

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 as a sum of consecutive naturals, namely, 1914457 + ... + 1914712.

Almost surely, 2490133632 is an apocalyptic number.

It is an amenable number.

490133632 is a deficient number, since it is larger than the sum of its proper divisors (486304718).

490133632 is an equidigital number, since it uses as much as digits as its factorization.

490133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829183 (or 3829171 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 490133632 is about 22138.9618546128. The cubic root of 490133632 is about 788.4451777759.

The spelling of 490133632 in words is "four hundred ninety million, one hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 3829169 7658338 15316676 30633352 61266704 122533408 245066816 490133632