Search a number
-
+
164729184 = 25317100937
BaseRepresentation
bin10011101000110…
…01000101100000
3102110222002221220
421310121011200
5314132313214
624202415040
74040114004
oct1164310540
9373862856
10164729184
1184a92524
1247201480
13281881b9
1417c40704
15e6dd9a9
hex9d19160

164729184 has 48 divisors (see below), whose sum is σ = 457854768. Its totient is φ = 51679232.

The previous prime is 164729171. The next prime is 164729189. The reversal of 164729184 is 481927461.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1647291842 = 54271408122611712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164729189) 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, 48837 + ... + 52100.

It is an arithmetic number, because the mean of its divisors is an integer number (9538641).

Almost surely, 2164729184 is an apocalyptic number.

It is an amenable number.

164729184 is an abundant number, since it is smaller than the sum of its proper divisors (293125584).

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

164729184 is a wasteful number, since it uses less digits than its factorization.

164729184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100967 (or 100959 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 164729184 is about 12834.6867511443. The cubic root of 164729184 is about 548.1804154927.

The spelling of 164729184 in words is "one hundred sixty-four million, seven hundred twenty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 100937 201874 302811 403748 605622 807496 1211244 1614992 1715929 2422488 3229984 3431858 4844976 5147787 6863716 9689952 10295574 13727432 20591148 27454864 41182296 54909728 82364592 164729184