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469764 = 223213049
BaseRepresentation
bin1110010101100000100
3212212101200
41302230010
5110013024
614022500
73664401
oct1625404
9785350
10469764
112a0a39
121a7a30
13135a89
14c32a8
15942c9
hex72b04

469764 has 18 divisors (see below), whose sum is σ = 1187550. Its totient is φ = 156576.

The previous prime is 469757. The next prime is 469769. The reversal of 469764 is 467964.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 57600 = 642^2 + 240^2 .

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: 13049 = 469764 / (4 + 6 + 9 + 7 + 6 + 4).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 469764.

It is not an unprimeable number, because it can be changed into a prime (469769) by changing a digit.

469764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6489 + ... + 6560.

It is an arithmetic number, because the mean of its divisors is an integer number (65975).

2469764 is an apocalyptic number.

It is an amenable number.

469764 is an abundant number, since it is smaller than the sum of its proper divisors (717786).

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

469764 is a wasteful number, since it uses less digits than its factorization.

469764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13059 (or 13054 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 469764 is about 685.3933177381. The cubic root of 469764 is about 77.7367853528.

It can be divided in two parts, 4697 and 64, that added together give a square (4761 = 692).

The spelling of 469764 in words is "four hundred sixty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 13049 26098 39147 52196 78294 117441 156588 234882 469764