Search a number
-
+
164494548 = 223247191509
BaseRepresentation
bin10011100110111…
…11110011010100
3102110112012002200
421303133303110
5314102311143
624153404500
74035115641
oct1163376324
9373465080
10164494548
1184942209
1247109730
132810546a
1417bbcdc8
15e6941d3
hex9cdfcd4

164494548 has 72 divisors (see below), whose sum is σ = 427714560. Its totient is φ = 53279040.

The previous prime is 164494541. The next prime is 164494553. The reversal of 164494548 is 845494461.

164494548 is a `hidden beast` number, since 1 + 64 + 49 + 4 + 548 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164494541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322918 + ... + 323426.

It is an arithmetic number, because the mean of its divisors is an integer number (5940480).

Almost surely, 2164494548 is an apocalyptic number.

164494548 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164494548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

164494548 is an abundant number, since it is smaller than the sum of its proper divisors (263220012).

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

164494548 is a wasteful number, since it uses less digits than its factorization.

164494548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 752 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 164494548 is about 12825.5427955311. The cubic root of 164494548 is about 547.9200204729.

The spelling of 164494548 in words is "one hundred sixty-four million, four hundred ninety-four thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 191 282 382 423 509 564 573 764 846 1018 1146 1527 1692 1719 2036 2292 3054 3438 4581 6108 6876 8977 9162 17954 18324 23923 26931 35908 47846 53862 71769 80793 95692 97219 107724 143538 161586 194438 215307 287076 291657 323172 388876 430614 583314 861228 874971 1166628 1749942 3499884 4569293 9138586 13707879 18277172 27415758 41123637 54831516 82247274 164494548