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688422288 = 243191514999
BaseRepresentation
bin101001000010000…
…111110110010000
31202222101110211210
4221002013312100
52402214003123
6152151140120
723026331031
oct5102076620
91688343753
10688422288
11323661944
12172674640
13ac817688
1467602a88
1540686e93
hex29087d90

688422288 has 80 divisors (see below), whose sum is σ = 1884800000. Its totient is φ = 215913600.

The previous prime is 688422281. The next prime is 688422311. The reversal of 688422288 is 882224886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (688422281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135213 + ... + 140211.

It is an arithmetic number, because the mean of its divisors is an integer number (23560000).

Almost surely, 2688422288 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 688422288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942400000).

688422288 is an abundant number, since it is smaller than the sum of its proper divisors (1196377712).

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

688422288 is a wasteful number, since it uses less digits than its factorization.

688422288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5174 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 688422288 is about 26237.8026518990. The cubic root of 688422288 is about 882.9815738928.

The spelling of 688422288 in words is "six hundred eighty-eight million, four hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 151 152 228 302 304 453 456 604 906 912 1208 1812 2416 2869 3624 4999 5738 7248 8607 9998 11476 14997 17214 19996 22952 29994 34428 39992 45904 59988 68856 79984 94981 119976 137712 189962 239952 284943 379924 569886 754849 759848 1139772 1509698 1519696 2264547 2279544 3019396 4529094 4559088 6038792 9058188 12077584 14342131 18116376 28684262 36232752 43026393 57368524 86052786 114737048 172105572 229474096 344211144 688422288