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1682974764 = 2232435918427
BaseRepresentation
bin110010001010000…
…0010100000101100
311100021210222100200
41210110002200230
511421320143024
6434555553500
756464022652
oct14424024054
94307728320
101682974764
11793aa4939
123ab75b890
1320a898173
1411d732dd2
159cb3e2c9
hex6450282c

1682974764 has 72 divisors (see below), whose sum is σ = 4427142720. Its totient is φ = 538628832.

The previous prime is 1682974763. The next prime is 1682974801. The reversal of 1682974764 is 4674792861.

1682974764 is a `hidden beast` number, since 1 + 6 + 82 + 97 + 476 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1682974764.

It is not an unprimeable number, because it can be changed into a prime (1682974763) 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, 82119 + ... + 100545.

Almost surely, 21682974764 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 1682974764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213571360).

1682974764 is an abundant number, since it is smaller than the sum of its proper divisors (2744167956).

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

1682974764 is a wasteful number, since it uses less digits than its factorization.

1682974764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18539 (or 18534 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 1682974764 is about 41024.0754191974. The cubic root of 1682974764 is about 1189.4856341627.

The spelling of 1682974764 in words is "one billion, six hundred eighty-two million, nine hundred seventy-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 59 86 118 129 172 177 236 258 354 387 516 531 708 774 1062 1548 2124 2537 5074 7611 10148 15222 18427 22833 30444 36854 45666 55281 73708 91332 110562 165843 221124 331686 663372 792361 1087193 1584722 2174386 2377083 3169444 3261579 4348772 4754166 6523158 7131249 9508332 9784737 13046316 14262498 19569474 28524996 39138948 46749299 93498598 140247897 186997196 280495794 420743691 560991588 841487382 1682974764