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688530832 = 241131971301
BaseRepresentation
bin101001000010100…
…010010110010000
31202222120222201221
4221002202112100
52402230441312
6152153334424
723030262343
oct5102422620
91688528657
10688530832
11323726450
12172707414
13ac854bc2
146763045a
15406a9207
hex290a2590

688530832 has 80 divisors (see below), whose sum is σ = 1518902784. Its totient is φ = 299520000.

The previous prime is 688530823. The next prime is 688530833. The reversal of 688530832 is 238035886.

It is a super-2 number, since 2×6885308322 = 948149413229224448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (688530833) 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, 528582 + ... + 529882.

Almost surely, 2688530832 is an apocalyptic number.

688530832 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688530832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759451392).

688530832 is an abundant number, since it is smaller than the sum of its proper divisors (830371952).

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

688530832 is a wasteful number, since it uses less digits than its factorization.

688530832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 688530832 is about 26239.8710362685. The cubic root of 688530832 is about 883.0279782180.

The spelling of 688530832 in words is "six hundred eighty-eight million, five hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 97 124 176 194 248 341 388 496 682 776 1067 1301 1364 1552 2134 2602 2728 3007 4268 5204 5456 6014 8536 10408 12028 14311 17072 20816 24056 28622 33077 40331 48112 57244 66154 80662 114488 126197 132308 161324 228976 252394 264616 322648 443641 504788 529232 645296 887282 1009576 1388167 1774564 2019152 2776334 3549128 3912107 5552668 7098256 7824214 11105336 15648428 22210672 31296856 43033177 62593712 86066354 172132708 344265416 688530832