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164484138 = 23713714243
BaseRepresentation
bin10011100110111…
…01010000101010
3102110111122211010
421303131100222
5314101443023
624153244350
74035043410
oct1163352052
9373448733
10164484138
1184935405
12471036b6
13281007c0
1417bb92b0
15e691093
hex9cdd42a

164484138 has 64 divisors (see below), whose sum is σ = 410683392. Its totient is φ = 42759360.

The previous prime is 164484137. The next prime is 164484157. The reversal of 164484138 is 831484461.

164484138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 164484096 and 164484105.

It is not an unprimeable number, because it can be changed into a prime (164484137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36645 + ... + 40887.

It is an arithmetic number, because the mean of its divisors is an integer number (6416928).

Almost surely, 2164484138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164484138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205341696).

164484138 is an abundant number, since it is smaller than the sum of its proper divisors (246199254).

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

164484138 is a wasteful number, since it uses less digits than its factorization.

164484138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339.

The product of its digits is 73728, while the sum is 39.

The square root of 164484138 is about 12825.1369583330. The cubic root of 164484138 is about 547.9084618979.

The spelling of 164484138 in words is "one hundred sixty-four million, four hundred eighty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 71 78 91 142 182 213 273 426 497 546 923 994 1491 1846 2769 2982 4243 5538 6461 8486 12729 12922 19383 25458 29701 38766 55159 59402 89103 110318 165477 178206 301253 330954 386113 602506 772226 903759 1158339 1807518 2108771 2316678 3916289 4217542 6326313 7832578 11748867 12652626 23497734 27414023 54828046 82242069 164484138