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553984 = 210541
BaseRepresentation
bin10000111010000000000
31001010220221
42013100000
5120211414
615512424
74465054
oct2072000
91033827
10553984
11349242
12228714
13165202
14105c64
15ae224
hex87400

553984 has 22 divisors (see below), whose sum is σ = 1109474. Its totient is φ = 276480.

The previous prime is 553981. The next prime is 553991. The reversal of 553984 is 489355.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 102400 = 672^2 + 320^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553981) 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 as a sum of consecutive naturals, namely, 754 + ... + 1294.

2553984 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 553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554737).

553984 is an abundant number, since it is smaller than the sum of its proper divisors (555490).

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

553984 is an equidigital number, since it uses as much as digits as its factorization.

553984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 543 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 553984 is about 744.3010143752. The cubic root of 553984 is about 82.1294801513.

The spelling of 553984 in words is "five hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 541 1024 1082 2164 4328 8656 17312 34624 69248 138496 276992 553984