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689376 = 25343167
BaseRepresentation
bin10101000010011100000
31022000122110
42220103200
5134030001
622435320
75600562
oct2502340
91260573
10689376
11430a36
12292b40
131b1a1c
1413d332
15d93d6
hexa84e0

689376 has 48 divisors (see below), whose sum is σ = 1862784. Its totient is φ = 223104.

The previous prime is 689369. The next prime is 689383. The reversal of 689376 is 673986.

It is an interprime number because it is at equal distance from previous prime (689369) and next prime (689383).

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

It is a congruent number.

It is an unprimeable number.

689376 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 7 ways as a sum of consecutive naturals, for example, 4045 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2689376 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 689376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392).

689376 is an abundant number, since it is smaller than the sum of its proper divisors (1173408).

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

689376 is a wasteful number, since it uses less digits than its factorization.

689376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 689376 is about 830.2866974726. The cubic root of 689376 is about 88.3389134563.

The spelling of 689376 in words is "six hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 167 172 258 334 344 501 516 668 688 1002 1032 1336 1376 2004 2064 2672 4008 4128 5344 7181 8016 14362 16032 21543 28724 43086 57448 86172 114896 172344 229792 344688 689376