Search a number
BaseRepresentation
bin1110010101000100000
3212212002020
41302220200
5110011121
614021440
73663624
oct1625040
9785066
10469536
112a0851
121a7880
13135942
14c3184
15941c6
hex72a20

469536 has 48 divisors (see below), whose sum is σ = 1268064. Its totient is φ = 152064.

The previous prime is 469529. The next prime is 469541. The reversal of 469536 is 635964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 469497 and 469506.

It is an unprimeable number.

469536 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6396 + ... + 6468.

It is an arithmetic number, because the mean of its divisors is an integer number (26418).

2469536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634032).

469536 is an abundant number, since it is smaller than the sum of its proper divisors (798528).

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

469536 is a wasteful number, since it uses less digits than its factorization.

469536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 469536 is about 685.2269696969. The cubic root of 469536 is about 77.7242067990.

The spelling of 469536 in words is "four hundred sixty-nine thousand, five hundred thirty-six".