Search a number
-
+
689321376 = 25328926893
BaseRepresentation
bin101001000101100…
…011010110100000
31210001002011011100
4221011203112200
52402431241001
6152222314400
723040064212
oct5105432640
91701064140
10689321376
11324116397
12172a28a00
13aca70993
14677985b2
15407b3586
hex291635a0

689321376 has 72 divisors (see below), whose sum is σ = 1982356740. Its totient is φ = 227183616.

The previous prime is 689321371. The next prime is 689321429. The reversal of 689321376 is 673123986.

It can be written as a sum of positive squares in 2 ways, for example, as 679957776 + 9363600 = 26076^2 + 3060^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (689321371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12186 + ... + 39078.

Almost surely, 2689321376 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 689321376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991178370).

689321376 is an abundant number, since it is smaller than the sum of its proper divisors (1293035364).

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

689321376 is a wasteful number, since it uses less digits than its factorization.

689321376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26998 (or 26987 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 689321376 is about 26254.9305083826. The cubic root of 689321376 is about 883.3658016150.

The spelling of 689321376 in words is "six hundred eighty-nine million, three hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 26893 53786 80679 107572 161358 215144 242037 322716 430288 484074 645432 860576 968148 1290864 1936296 2393477 2581728 3872592 4786954 7180431 7745184 9573908 14360862 19147816 21541293 28721724 38295632 43082586 57443448 76591264 86165172 114886896 172330344 229773792 344660688 689321376