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164285504 = 2623233479
BaseRepresentation
bin10011100101011…
…00110001000000
3102110010120100022
421302230301000
5314024114004
624145113012
74033255325
oct1162546100
9373116308
10164285504
118480a149
1247028768
1328061276
1417b66b4c
15e6522be
hex9cacc40

164285504 has 56 divisors (see below), whose sum is σ = 342351360. Its totient is φ = 78070784.

The previous prime is 164285497. The next prime is 164285507. The reversal of 164285504 is 405582461.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (164285507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342737 + ... + 343215.

Almost surely, 2164285504 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 164285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175680).

164285504 is an abundant number, since it is smaller than the sum of its proper divisors (178065856).

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

164285504 is a wasteful number, since it uses less digits than its factorization.

164285504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 164285504 is about 12817.3906860952. The cubic root of 164285504 is about 547.6878183557.

The spelling of 164285504 in words is "one hundred sixty-four million, two hundred eighty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 233 368 466 479 736 932 958 1472 1864 1916 3728 3832 5359 7456 7664 10718 11017 14912 15328 21436 22034 30656 42872 44068 85744 88136 111607 171488 176272 223214 342976 352544 446428 705088 892856 1785712 2566961 3571424 5133922 7142848 10267844 20535688 41071376 82142752 164285504