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164283642 = 2329126869
BaseRepresentation
bin10011100101011…
…00010011111010
3102110010110210100
421302230103322
5314024034032
624145100230
74033250025
oct1162542372
9373113710
10164283642
1184808806
1247027676
1328060473
1417b661bc
15e65197c
hex9cac4fa

164283642 has 12 divisors (see below), whose sum is σ = 355947930. Its totient is φ = 54761208.

The previous prime is 164283629. The next prime is 164283649. The reversal of 164283642 is 246382461.

164283642 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 8 + 3 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128391561 + 35892081 = 11331^2 + 5991^2 .

It is a super-3 number, since 3×1642836423 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164283597 and 164283606.

It is not an unprimeable number, because it can be changed into a prime (164283649) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4563417 + ... + 4563452.

Almost surely, 2164283642 is an apocalyptic number.

164283642 is an abundant number, since it is smaller than the sum of its proper divisors (191664288).

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

164283642 is a wasteful number, since it uses less digits than its factorization.

164283642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126877 (or 9126874 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 164283642 is about 12817.3180502007. The cubic root of 164283642 is about 547.6857491966.

The spelling of 164283642 in words is "one hundred sixty-four million, two hundred eighty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 9126869 18253738 27380607 54761214 82141821 164283642