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689152 = 210673
BaseRepresentation
bin10101000010000000000
31022000100011
42220100000
5134023102
622434304
75600122
oct2502000
91260304
10689152
11430852
12292994
131b18a9
1413d212
15d92d7
hexa8400

689152 has 22 divisors (see below), whose sum is σ = 1379678. Its totient is φ = 344064.

The previous prime is 689141. The next prime is 689167. The reversal of 689152 is 251986.

It can be written as a sum of positive squares in only one way, i.e., 541696 + 147456 = 736^2 + 384^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

689152 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 as a sum of consecutive naturals, namely, 688 + ... + 1360.

2689152 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 689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689839).

689152 is an abundant number, since it is smaller than the sum of its proper divisors (690526).

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

689152 is an equidigital number, since it uses as much as digits as its factorization.

689152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 675 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 689152 is about 830.1517933487. The cubic root of 689152 is about 88.3293443869.

It can be divided in two parts, 689 and 152, that added together give a square (841 = 292).

The spelling of 689152 in words is "six hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 673 1024 1346 2692 5384 10768 21536 43072 86144 172288 344576 689152