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688245748 = 221729421829
BaseRepresentation
bin101001000001011…
…100101111110100
31202222001111200021
4221001130233310
52402142330443
6152143254524
723024664241
oct5101345764
91688044607
10688245748
11323551243
121725aa444
13ac785208
14675985c8
154064e9ed
hex2905cbf4

688245748 has 48 divisors (see below), whose sum is σ = 1323982800. Its totient is φ = 311592960.

The previous prime is 688245739. The next prime is 688245827. The reversal of 688245748 is 847542886.

It is a happy number.

688245748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17539344 + 670706404 = 4188^2 + 25898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 688245695 and 688245704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829798 + ... + 830626.

It is an arithmetic number, because the mean of its divisors is an integer number (27582975).

Almost surely, 2688245748 is an apocalyptic number.

688245748 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

688245748 is a deficient number, since it is larger than the sum of its proper divisors (635737052).

688245748 is a wasteful number, since it uses less digits than its factorization.

688245748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1298 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 52.

The square root of 688245748 is about 26234.4382062967. The cubic root of 688245748 is about 882.9060897524.

The spelling of 688245748 in words is "six hundred eighty-eight million, two hundred forty-five thousand, seven hundred forty-eight".

Divisors: 1 2 4 17 29 34 58 68 116 421 493 829 842 986 1658 1684 1972 3316 7157 12209 14093 14314 24041 24418 28186 28628 48082 48836 56372 96164 207553 349009 408697 415106 698018 817394 830212 1396036 1634788 5933153 10121261 11866306 20242522 23732612 40485044 172061437 344122874 688245748