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533392 = 24173753
BaseRepresentation
bin10000010001110010000
31000002200021
42002032100
5114032032
615233224
74351036
oct2021620
91002607
10533392
11334822
12218814
13158a22
14dc556
15a8097
hex82390

533392 has 40 divisors (see below), whose sum is σ = 1145016. Its totient is φ = 239616.

The previous prime is 533389. The next prime is 533399. The reversal of 533392 is 293335.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 215296 = 564^2 + 464^2 .

It is not an unprimeable number, because it can be changed into a prime (533399) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10038 + ... + 10090.

2533392 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 533392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572508).

533392 is an abundant number, since it is smaller than the sum of its proper divisors (611624).

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

533392 is a wasteful number, since it uses less digits than its factorization.

533392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its digits is 2430, while the sum is 25.

The square root of 533392 is about 730.3369085566. The cubic root of 533392 is about 81.0990000196.

It can be divided in two parts, 53 and 3392, that multiplied together give a square (179776 = 4242).

The spelling of 533392 in words is "five hundred thirty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 37 53 68 74 106 136 148 212 272 296 424 592 629 848 901 1258 1802 1961 2516 3604 3922 5032 7208 7844 10064 14416 15688 31376 33337 66674 133348 266696 533392