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689544 = 233261157
BaseRepresentation
bin10101000010110001000
31022000212200
42220112020
5134031134
622440200
75601222
oct2502610
91260780
10689544
11431079
12293060
131b1b1b
1413d412
15d9499
hexa8588

689544 has 48 divisors (see below), whose sum is σ = 1910220. Its totient is φ = 224640.

The previous prime is 689509. The next prime is 689551. The reversal of 689544 is 445986.

It can be written as a sum of positive squares in 2 ways, for example, as 580644 + 108900 = 762^2 + 330^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

689544 is an undulating number in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 689499 and 689508.

It is an unprimeable number.

689544 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 11 ways as a sum of consecutive naturals, for example, 4314 + ... + 4470.

2689544 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 689544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955110).

689544 is an abundant number, since it is smaller than the sum of its proper divisors (1220676).

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

689544 is a wasteful number, since it uses less digits than its factorization.

689544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 689544 is about 830.3878611830. The cubic root of 689544 is about 88.3460888981.

The spelling of 689544 in words is "six hundred eighty-nine thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 157 183 244 314 366 471 488 549 628 732 942 1098 1256 1413 1464 1884 2196 2826 3768 4392 5652 9577 11304 19154 28731 38308 57462 76616 86193 114924 172386 229848 344772 689544