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164438484 = 223717115153
BaseRepresentation
bin10011100110100…
…10000111010100
3102110102100012020
421303102013110
5314044012414
624152253140
74034463330
oct1163220724
9373370166
10164438484
1184904081
12470a11b0
13280b5aa2
1417ba67c0
15e6827a9
hex9cd21d4

164438484 has 48 divisors (see below), whose sum is σ = 464300928. Its totient is φ = 44218368.

The previous prime is 164438479. The next prime is 164438507. The reversal of 164438484 is 484834461.

It is a super-3 number, since 3×1644384843 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 56149 + ... + 59004.

It is an arithmetic number, because the mean of its divisors is an integer number (9672936).

Almost surely, 2164438484 is an apocalyptic number.

164438484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164438484 is an abundant number, since it is smaller than the sum of its proper divisors (299862444).

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

164438484 is a wasteful number, since it uses less digits than its factorization.

164438484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115184 (or 115182 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 164438484 is about 12823.3569707780. The cubic root of 164438484 is about 547.8577649575.

The spelling of 164438484 in words is "one hundred sixty-four million, four hundred thirty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 115153 230306 345459 460612 690918 806071 1381836 1612142 1957601 2418213 3224284 3915202 4836426 5872803 7830404 9672852 11745606 13703207 23491212 27406414 41109621 54812828 82219242 164438484