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1683957268 = 227297129209
BaseRepresentation
bin110010001011111…
…0010011000010100
311100100122220002201
41210113302120110
511422043113033
6435033014244
756505254260
oct14427623024
94310586081
101683957268
11794606024
123abb54384
1320ab50426
1411d90b0a0
159cc8547d
hex645f2614

1683957268 has 48 divisors (see below), whose sum is σ = 3533241600. Its totient is φ = 686972160.

The previous prime is 1683957263. The next prime is 1683957269. The reversal of 1683957268 is 8627593861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683957263) 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, 43048 + ... + 72256.

It is an arithmetic number, because the mean of its divisors is an integer number (73609200).

Almost surely, 21683957268 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 1683957268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766620800).

1683957268 is an abundant number, since it is smaller than the sum of its proper divisors (1849284332).

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

1683957268 is a wasteful number, since it uses less digits than its factorization.

1683957268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29320 (or 29318 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The square root of 1683957268 is about 41036.0483965013. The cubic root of 1683957268 is about 1189.7170591117.

The spelling of 1683957268 in words is "one billion, six hundred eighty-three million, nine hundred fifty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 71 116 142 203 284 406 497 812 994 1988 2059 4118 8236 14413 28826 29209 57652 58418 116836 204463 408926 817852 847061 1694122 2073839 3388244 4147678 5929427 8295356 11858854 14516873 23717708 29033746 58067492 60141331 120282662 240565324 420989317 841978634 1683957268