Search a number
-
+
164437254 = 2329135403
BaseRepresentation
bin10011100110100…
…01110100000110
3102110102021111200
421303101310012
5314043443004
624152243330
74034456622
oct1163216406
9373367450
10164437254
1184903163
12470a0546
13280b5367
1417ba6182
15e682239
hex9cd1d06

164437254 has 12 divisors (see below), whose sum is σ = 356280756. Its totient is φ = 54812412.

The previous prime is 164437253. The next prime is 164437271. The reversal of 164437254 is 452734461.

164437254 is a `hidden beast` number, since 1 + 644 + 3 + 7 + 2 + 5 + 4 = 666.

It is a super-3 number, since 3×1644372543 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164437253) 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 5 ways as a sum of consecutive naturals, for example, 4567684 + ... + 4567719.

It is an arithmetic number, because the mean of its divisors is an integer number (29690063).

Almost surely, 2164437254 is an apocalyptic number.

164437254 is an abundant number, since it is smaller than the sum of its proper divisors (191843502).

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

164437254 is a wasteful number, since it uses less digits than its factorization.

164437254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9135411 (or 9135408 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 164437254 is about 12823.3090113278. The cubic root of 164437254 is about 547.8563989620.

The spelling of 164437254 in words is "one hundred sixty-four million, four hundred thirty-seven thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 9135403 18270806 27406209 54812418 82218627 164437254