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683106248 = 231141593209
BaseRepresentation
bin101000101101110…
…101111111001000
31202121101101121102
4220231311333020
52344333344443
6151441200532
722633210256
oct5055657710
91677341542
10683106248
11320660920
12170930148
13ab6a5aa6
1466a1b5d6
153ee86cb8
hex28b75fc8

683106248 has 64 divisors (see below), whose sum is σ = 1456056000. Its totient is φ = 297702400.

The previous prime is 683106217. The next prime is 683106283. The reversal of 683106248 is 842601386.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211268 + ... + 214476.

It is an arithmetic number, because the mean of its divisors is an integer number (22750875).

Almost surely, 2683106248 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 683106248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728028000).

683106248 is an abundant number, since it is smaller than the sum of its proper divisors (772949752).

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

683106248 is a wasteful number, since it uses less digits than its factorization.

683106248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 683106248 is about 26136.3013450641. The cubic root of 683106248 is about 880.7028854022.

The spelling of 683106248 in words is "six hundred eighty-three million, one hundred six thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 41 44 59 82 88 118 164 236 328 451 472 649 902 1298 1804 2419 2596 3209 3608 4838 5192 6418 9676 12836 19352 25672 26609 35299 53218 70598 106436 131569 141196 189331 212872 263138 282392 378662 526276 757324 1052552 1447259 1514648 2082641 2894518 4165282 5789036 7762571 8330564 11578072 15525142 16661128 31050284 62100568 85388281 170776562 341553124 683106248