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449892 = 223212497
BaseRepresentation
bin1101101110101100100
3211212010200
41231311210
5103344032
613350500
73552432
oct1556544
9755120
10449892
11288013
12198430
13129a11
14b9d52
158d47c
hex6dd64

449892 has 18 divisors (see below), whose sum is σ = 1137318. Its totient is φ = 149952.

The previous prime is 449879. The next prime is 449921. The reversal of 449892 is 298944.

It is a happy number.

449892 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 60516 = 624^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12497 = 449892 / (4 + 4 + 9 + 8 + 9 + 2).

It is an unprimeable number.

449892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 6213 + ... + 6284.

2449892 is an apocalyptic number.

It is an amenable number.

449892 is an abundant number, since it is smaller than the sum of its proper divisors (687426).

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

449892 is a wasteful number, since it uses less digits than its factorization.

449892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507 (or 12502 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 449892 is about 670.7398899723. The cubic root of 449892 is about 76.6248122734.

The spelling of 449892 in words is "four hundred forty-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 12497 24994 37491 49988 74982 112473 149964 224946 449892