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164024064 = 283271191
BaseRepresentation
bin10011100011011…
…00111100000000
3102102122021201100
421301230330000
5313442232224
624135334400
74031116161
oct1161547400
9372567640
10164024064
1184650786
1246b21400
1327c9c279
1417ad9768
15e5eeac9
hex9c6cf00

164024064 has 54 divisors (see below), whose sum is σ = 472928456. Its totient is φ = 54673920.

The previous prime is 164024057. The next prime is 164024099. The reversal of 164024064 is 460420461.

164024064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33292 + ... + 37899.

Almost surely, 2164024064 is an apocalyptic number.

It is an amenable number.

164024064 is an abundant number, since it is smaller than the sum of its proper divisors (308904392).

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

164024064 is an equidigital number, since it uses as much as digits as its factorization.

164024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71213 (or 71196 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 164024064 is about 12807.1879817546. The cubic root of 164024064 is about 547.3971383667.

The spelling of 164024064 in words is "one hundred sixty-four million, twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 71191 142382 213573 284764 427146 569528 640719 854292 1139056 1281438 1708584 2278112 2562876 3417168 4556224 5125752 6834336 9112448 10251504 13668672 18224896 20503008 27337344 41006016 54674688 82012032 164024064