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683058961 = 13237313349
BaseRepresentation
bin101000101101101…
…010011100010001
31202121021222202001
4220231222130101
52344330341321
6151440154001
722632622354
oct5055523421
91677258661
10683058961
11320629342
12170908901
13ab68a400
1466a0829b
153ee77c91
hex28b6a711

683058961 has 24 divisors (see below), whose sum is σ = 764244600. Its totient is φ = 609762816.

The previous prime is 683058931. The next prime is 683058967. The reversal of 683058961 is 169850386.

It can be written as a sum of positive squares in 12 ways, for example, as 342435025 + 340623936 = 18505^2 + 18456^2 .

It is not a de Polignac number, because 683058961 - 27 = 683058833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (683058967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1957015 + ... + 1957363.

It is an arithmetic number, because the mean of its divisors is an integer number (31843525).

Almost surely, 2683058961 is an apocalyptic number.

It is an amenable number.

683058961 is a deficient number, since it is larger than the sum of its proper divisors (81185639).

683058961 is a wasteful number, since it uses less digits than its factorization.

683058961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 683058961 is about 26135.3967063827. The cubic root of 683058961 is about 880.6825631568.

The spelling of 683058961 in words is "six hundred eighty-three million, fifty-eight thousand, nine hundred sixty-one".

Divisors: 1 13 37 169 313 349 481 4069 4537 6253 11581 12913 52897 58981 109237 150553 167869 1420081 1957189 2182297 4041769 18461053 52542997 683058961