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164280952 = 231173107239
BaseRepresentation
bin10011100101010…
…11101001111000
3102110010100002201
421302223221320
5314023442302
624145035544
74033236133
oct1162535170
9373110081
10164280952
1184806790
1247025bb4
132805c184
1417b6521a
15e650c87
hex9caba78

164280952 has 64 divisors (see below), whose sum is σ = 345254400. Its totient is φ = 72656640.

The previous prime is 164280929. The next prime is 164280959. The reversal of 164280952 is 259082461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164280959) 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, 687249 + ... + 687487.

It is an arithmetic number, because the mean of its divisors is an integer number (5394600).

Almost surely, 2164280952 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 164280952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172627200).

164280952 is an abundant number, since it is smaller than the sum of its proper divisors (180973448).

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

164280952 is a wasteful number, since it uses less digits than its factorization.

164280952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 164280952 is about 12817.2131136219. The cubic root of 164280952 is about 547.6827598896.

The spelling of 164280952 in words is "one hundred sixty-four million, two hundred eighty thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 73 88 107 146 214 239 292 428 478 584 803 856 956 1177 1606 1912 2354 2629 3212 4708 5258 6424 7811 9416 10516 15622 17447 21032 25573 31244 34894 51146 62488 69788 85921 102292 139576 171842 191917 204584 281303 343684 383834 562606 687368 767668 1125212 1535336 1866829 2250424 3733658 7467316 14934632 20535119 41070238 82140476 164280952