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164026248 = 233231631823
BaseRepresentation
bin10011100011011…
…01011110001000
3102102122101201020
421301231132020
5313442314443
624135352440
74031125431
oct1161553610
9372571636
10164026248
1184652391
1246b22720
1327ca0269
1417ada488
15e600583
hex9c6d788

164026248 has 64 divisors (see below), whose sum is σ = 430755840. Its totient is φ = 51948864.

The previous prime is 164026237. The next prime is 164026249. The reversal of 164026248 is 842620461.

164026248 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1640262482 = 53809220065915008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164026249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89065 + ... + 90887.

It is an arithmetic number, because the mean of its divisors is an integer number (6730560).

Almost surely, 2164026248 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 164026248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215377920).

164026248 is an abundant number, since it is smaller than the sum of its proper divisors (266729592).

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

164026248 is a wasteful number, since it uses less digits than its factorization.

164026248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 164026248 is about 12807.2732460895. The cubic root of 164026248 is about 547.3995679087.

The spelling of 164026248 in words is "one hundred sixty-four million, twenty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 163 184 276 326 489 552 652 978 1304 1823 1956 3646 3749 3912 5469 7292 7498 10938 11247 14584 14996 21876 22494 29992 41929 43752 44988 83858 89976 125787 167716 251574 297149 335432 503148 594298 891447 1006296 1188596 1782894 2377192 3565788 6834427 7131576 13668854 20503281 27337708 41006562 54675416 82013124 164026248