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164282192 = 2423538423
BaseRepresentation
bin10011100101010…
…11111101010000
3102110010101210122
421302223331100
5314024012232
624145045412
74033242554
oct1162537520
9373111718
10164282192
1184807708
1247026868
132805c8c9
1417b65864
15e651312
hex9cabf50

164282192 has 40 divisors (see below), whose sum is σ = 338442624. Its totient is φ = 77078144.

The previous prime is 164282177. The next prime is 164282197. The reversal of 164282192 is 291282461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164282197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15293 + ... + 23715.

Almost surely, 2164282192 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 164282192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169221312).

164282192 is an abundant number, since it is smaller than the sum of its proper divisors (174160432).

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

164282192 is a wasteful number, since it uses less digits than its factorization.

164282192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8507 (or 8501 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 164282192 is about 12817.2614859805. The cubic root of 164282192 is about 547.6841378641.

The spelling of 164282192 in words is "one hundred sixty-four million, two hundred eighty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 368 424 848 1219 2438 4876 8423 9752 16846 19504 33692 67384 134768 193729 387458 446419 774916 892838 1549832 1785676 3099664 3571352 7142704 10267637 20535274 41070548 82141096 164282192