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688244112 = 243214932077
BaseRepresentation
bin101001000001011…
…100010110010000
31202222001102102200
4221001130112100
52402142302422
6152143243200
723024656413
oct5101342620
91688042380
10688244112
1132354aa96
121725a9500
13ac78454a
1467597b7a
154064e2ac
hex2905c590

688244112 has 60 divisors (see below), whose sum is σ = 1939115100. Its totient is φ = 227867904.

The previous prime is 688244057. The next prime is 688244131. The reversal of 688244112 is 211442886.

It can be written as a sum of positive squares in 2 ways, for example, as 439992576 + 248251536 = 20976^2 + 15756^2 .

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5418 + ... + 37494.

It is an arithmetic number, because the mean of its divisors is an integer number (32318585).

Almost surely, 2688244112 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 688244112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969557550).

688244112 is an abundant number, since it is smaller than the sum of its proper divisors (1250870988).

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

688244112 is a wasteful number, since it uses less digits than its factorization.

688244112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32240 (or 32231 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 688244112 is about 26234.4070258887. The cubic root of 688244112 is about 882.9053901789.

Adding to 688244112 its reverse (211442886), we get a palindrome (899686998).

The spelling of 688244112 in words is "six hundred eighty-eight million, two hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 21456 32077 64154 96231 128308 192462 256616 288693 384924 513232 577386 769848 1154772 1539696 2309544 4619088 4779473 9558946 14338419 19117892 28676838 38235784 43015257 57353676 76471568 86030514 114707352 172061028 229414704 344122056 688244112