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164748636 = 22321332083
BaseRepresentation
bin10011101000111…
…01110101011100
3102111000002122100
421310131311130
5314133424021
624203045100
74040224503
oct1164356534
9374002570
10164748636
1184aa60a8
1247210790
1328194000
1417c4783a
15e6e4626
hex9d1dd5c

164748636 has 72 divisors (see below), whose sum is σ = 451352720. Its totient is φ = 50667552.

The previous prime is 164748631. The next prime is 164748641. The reversal of 164748636 is 636847461.

It is a happy number.

164748636 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 4 + 8 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (164748631) and next prime (164748641).

It is a super-2 number, since 2×1647486362 = 54284226127720992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164748591 and 164748600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164748631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78051 + ... + 80133.

Almost surely, 2164748636 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 164748636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225676360).

164748636 is an abundant number, since it is smaller than the sum of its proper divisors (286604084).

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

164748636 is a wasteful number, since it uses less digits than its factorization.

164748636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2101 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 164748636 is about 12835.4445189873. Note that the first 3 decimals coincide. The cubic root of 164748636 is about 548.2019918875.

The spelling of 164748636 in words is "one hundred sixty-four million, seven hundred forty-eight thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2083 2197 3042 4166 4394 6084 6249 6591 8332 8788 12498 13182 18747 19773 24996 26364 27079 37494 39546 54158 74988 79092 81237 108316 162474 243711 324948 352027 487422 704054 974844 1056081 1408108 2112162 3168243 4224324 4576351 6336486 9152702 12672972 13729053 18305404 27458106 41187159 54916212 82374318 164748636