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533376 = 2732463
BaseRepresentation
bin10000010001110000000
31000002122200
42002032000
5114032001
615233200
74351014
oct2021600
91002580
10533376
11334808
12218800
13158a0c
14dc544
15a8086
hex82380

533376 has 48 divisors (see below), whose sum is σ = 1538160. Its totient is φ = 177408.

The previous prime is 533371. The next prime is 533389. The reversal of 533376 is 673335.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 533376.

It is not an unprimeable number, because it can be changed into a prime (533371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 921 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (32045).

2533376 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 533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769080).

533376 is an abundant number, since it is smaller than the sum of its proper divisors (1004784).

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

533376 is a wasteful number, since it uses less digits than its factorization.

533376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 468 counting only the distinct ones).

The product of its digits is 5670, while the sum is 27.

The square root of 533376 is about 730.3259546257. The cubic root of 533376 is about 81.0981891107.

It can be divided in two parts, 533 and 376, that added together give a palindrome (909).

The spelling of 533376 in words is "five hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 463 576 926 1152 1389 1852 2778 3704 4167 5556 7408 8334 11112 14816 16668 22224 29632 33336 44448 59264 66672 88896 133344 177792 266688 533376