Search a number
-
+
164425492 = 227117173103
BaseRepresentation
bin10011100110011…
…10111100010100
3102110101200101001
421303032330110
5314043103432
624152113044
74034410420
oct1163167424
9373350331
10164425492
11848a5340
1247095784
13280acbba
1417ba1b80
15e67d9e7
hex9ccef14

164425492 has 96 divisors (see below), whose sum is σ = 372363264. Its totient is φ = 61689600.

The previous prime is 164425483. The next prime is 164425493. The reversal of 164425492 is 294524461.

It is a super-3 number, since 3×1644254923 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164425493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596313 + ... + 1596415.

It is an arithmetic number, because the mean of its divisors is an integer number (3878784).

Almost surely, 2164425492 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 164425492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186181632).

164425492 is an abundant number, since it is smaller than the sum of its proper divisors (207937772).

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

164425492 is a wasteful number, since it uses less digits than its factorization.

164425492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 164425492 is about 12822.8503851523. The cubic root of 164425492 is about 547.8433361463.

The spelling of 164425492 in words is "one hundred sixty-four million, four hundred twenty-five thousand, four hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 71 73 77 103 142 146 154 206 284 292 308 412 497 511 721 781 803 994 1022 1133 1442 1562 1606 1988 2044 2266 2884 3124 3212 4532 5183 5467 5621 7313 7519 7931 10366 10934 11242 14626 15038 15862 20732 21868 22484 29252 30076 31724 36281 51191 52633 57013 72562 80443 82709 102382 105266 114026 145124 160886 165418 204764 210532 228052 321772 330836 399091 533849 563101 578963 798182 1067698 1126202 1157926 1596364 2135396 2252404 2315852 3736943 5872339 7473886 11744678 14947772 23489356 41106373 82212746 164425492