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164381592 = 233311092027
BaseRepresentation
bin10011100110001…
…00001110011000
3102110022110011010
421303010032120
5314040202332
624151133520
74034135424
oct1163041630
9373273133
10164381592
1184875361
12470742a0
1328095c1b
1417b8db84
15e6709cc
hex9cc4398

164381592 has 64 divisors (see below), whose sum is σ = 428313600. Its totient is φ = 52513920.

The previous prime is 164381579. The next prime is 164381593. The reversal of 164381592 is 295183461.

It is a self number, because there is not a number n which added to its sum of digits gives 164381592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164381593) 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, 80083 + ... + 82109.

It is an arithmetic number, because the mean of its divisors is an integer number (6692400).

Almost surely, 2164381592 is an apocalyptic number.

164381592 is a gapful number since it is divisible by the number (12) 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 164381592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214156800).

164381592 is an abundant number, since it is smaller than the sum of its proper divisors (263932008).

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

164381592 is a wasteful number, since it uses less digits than its factorization.

164381592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2172 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 164381592 is about 12821.1384829897. The cubic root of 164381592 is about 547.7945755336.

The spelling of 164381592 in words is "one hundred sixty-four million, three hundred eighty-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 109 124 186 218 248 327 372 436 654 744 872 1308 2027 2616 3379 4054 6081 6758 8108 10137 12162 13516 16216 20274 24324 27032 40548 48648 62837 81096 125674 188511 220943 251348 377022 441886 502696 662829 754044 883772 1325658 1508088 1767544 2651316 5302632 6849233 13698466 20547699 27396932 41095398 54793864 82190796 164381592