Search a number
-
+
164571972 = 22316384137
BaseRepresentation
bin10011100111100…
…10101101000100
3102110200010022020
421303302231010
5314112300342
624155203140
74035560445
oct1163625504
9373603266
10164571972
11849953a4
12471464b0
1328131786
1417bdd2cc
15e6ac0ec
hex9cf2b44

164571972 has 24 divisors (see below), whose sum is σ = 386361696. Its totient is φ = 54520128.

The previous prime is 164571971. The next prime is 164571973. The reversal of 164571972 is 279175461.

It is a happy number.

164571972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164571971) and next prime (164571973).

It is not an unprimeable number, because it can be changed into a prime (164571971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40113 + ... + 44024.

It is an arithmetic number, because the mean of its divisors is an integer number (16098404).

Almost surely, 2164571972 is an apocalyptic number.

164571972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164571972 is an abundant number, since it is smaller than the sum of its proper divisors (221789724).

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

164571972 is a wasteful number, since it uses less digits than its factorization.

164571972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84307 (or 84305 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 164571972 is about 12828.5607922323. The cubic root of 164571972 is about 548.0059716614.

The spelling of 164571972 in words is "one hundred sixty-four million, five hundred seventy-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 163 326 489 652 978 1956 84137 168274 252411 336548 504822 1009644 13714331 27428662 41142993 54857324 82285986 164571972