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164292996 = 223713914071
BaseRepresentation
bin10011100101011…
…10100110000100
3102110010221121210
421302232212010
5314024333441
624145211420
74033316220
oct1162564604
9373127553
10164292996
118481483a
1247030b70
13280647ba
1417b69780
15e654616
hex9cae984

164292996 has 48 divisors (see below), whose sum is σ = 441297920. Its totient is φ = 46599840.

The previous prime is 164292991. The next prime is 164293009. The reversal of 164292996 is 699292461.

It is not an unprimeable number, because it can be changed into a prime (164292991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4641 + ... + 18711.

Almost surely, 2164292996 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 164292996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220648960).

164292996 is an abundant number, since it is smaller than the sum of its proper divisors (277004924).

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

164292996 is a wasteful number, since it uses less digits than its factorization.

164292996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14224 (or 14222 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 164292996 is about 12817.6829419361. The cubic root of 164292996 is about 547.6961437297.

The spelling of 164292996 in words is "one hundred sixty-four million, two hundred ninety-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1668 1946 2919 3892 5838 11676 14071 28142 42213 56284 84426 98497 168852 196994 295491 393988 590982 1181964 1955869 3911738 5867607 7823476 11735214 13691083 23470428 27382166 41073249 54764332 82146498 164292996