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164431254 = 23132315231
BaseRepresentation
bin10011100110100…
…00010110010110
3102110101222021110
421303100112112
5314043300004
624152155450
74034433261
oct1163202626
9373358243
10164431254
11848a96a9
1247098b86
13280b2700
1417ba3cd8
15e680589
hex9cd0596

164431254 has 48 divisors (see below), whose sum is σ = 367663104. Its totient is φ = 48952800.

The previous prime is 164431249. The next prime is 164431261. The reversal of 164431254 is 452134461.

It is a super-3 number, since 3×1644312543 (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 23 ways as a sum of consecutive naturals, for example, 28819 + ... + 34049.

It is an arithmetic number, because the mean of its divisors is an integer number (7659648).

Almost surely, 2164431254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164431254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183831552).

164431254 is an abundant number, since it is smaller than the sum of its proper divisors (203231850).

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

164431254 is a wasteful number, since it uses less digits than its factorization.

164431254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293 (or 5280 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 164431254 is about 12823.0750602186. The cubic root of 164431254 is about 547.8497354712.

The spelling of 164431254 in words is "one hundred sixty-four million, four hundred thirty-one thousand, two hundred fifty-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 806 1014 1209 2418 5231 5239 10462 10478 15693 15717 31386 31434 68003 136006 162161 204009 324322 408018 486483 884039 972966 1768078 2108093 2652117 4216186 5304234 6324279 12648558 27405209 54810418 82215627 164431254