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949000468 = 221382122229
BaseRepresentation
bin111000100100001…
…001100100010100
32110010201012220111
4320210021210110
53420421003333
6234100212404
732342241133
oct7044114424
92403635814
10949000468
11447760109
1222599a104
131217c1b50
149007391a
15584aa4cd
hex38909914

949000468 has 24 divisors (see below), whose sum is σ = 1790759880. Its totient is φ = 437447040.

The previous prime is 949000463. The next prime is 949000483. The reversal of 949000468 is 864000949.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 947531524 = 1212^2 + 30782^2 .

It is a super-3 number, since 3×9490004683 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 949000468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949000463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31578 + ... + 53806.

It is an arithmetic number, because the mean of its divisors is an integer number (74614995).

Almost surely, 2949000468 is an apocalyptic number.

It is an amenable number.

949000468 is a deficient number, since it is larger than the sum of its proper divisors (841759412).

949000468 is a wasteful number, since it uses less digits than its factorization.

949000468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23067 (or 23065 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 949000468 is about 30805.8511974592. The cubic root of 949000468 is about 982.7026839603.

The spelling of 949000468 in words is "nine hundred forty-nine million, four hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 13 26 52 821 1642 3284 10673 21346 22229 42692 44458 88916 288977 577954 1155908 18250009 36500018 73000036 237250117 474500234 949000468