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688361408 = 2672219503
BaseRepresentation
bin101001000001111…
…000111111000000
31202222021101022222
4221001320333000
52402210031113
6152145550212
723025655400
oct5101707700
91688241288
10688361408
11323620129
12172645368
13ac7c5a57
14675c8800
1540673e08
hex29078fc0

688361408 has 42 divisors (see below), whose sum is σ = 1588989456. Its totient is φ = 295010688.

The previous prime is 688361407. The next prime is 688361419. The reversal of 688361408 is 804163886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688361407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106616 + ... + 112887.

Almost surely, 2688361408 is an apocalyptic number.

It is an amenable number.

688361408 is an abundant number, since it is smaller than the sum of its proper divisors (900628048).

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

688361408 is a wasteful number, since it uses less digits than its factorization.

688361408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219529 (or 219512 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 688361408 is about 26236.6424681208. The cubic root of 688361408 is about 882.9555445675.

The spelling of 688361408 in words is "six hundred eighty-eight million, three hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 219503 439006 878012 1536521 1756024 3073042 3512048 6146084 7024096 10755647 12292168 14048192 21511294 24584336 43022588 49168672 86045176 98337344 172090352 344180704 688361408