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164431572 = 22313702631
BaseRepresentation
bin10011100110100…
…00011011010100
3102110101222201020
421303100123110
5314043302242
624152201140
74034434224
oct1163203324
9373358636
10164431572
11848a9968
12470991b0
13280b28b6
1417ba4084
15e6806ec
hex9cd06d4

164431572 has 12 divisors (see below), whose sum is σ = 383673696. Its totient is φ = 54810520.

The previous prime is 164431543. The next prime is 164431591. The reversal of 164431572 is 275134461.

164431572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×1644315723 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6851304 + ... + 6851327.

It is an arithmetic number, because the mean of its divisors is an integer number (31972808).

Almost surely, 2164431572 is an apocalyptic number.

164431572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164431572 is an abundant number, since it is smaller than the sum of its proper divisors (219242124).

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

164431572 is a wasteful number, since it uses less digits than its factorization.

164431572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13702638 (or 13702636 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 164431572 is about 12823.0874597345. The cubic root of 164431572 is about 547.8500886403.

The spelling of 164431572 in words is "one hundred sixty-four million, four hundred thirty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 13702631 27405262 41107893 54810524 82215786 164431572