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164420045 = 5374153409
BaseRepresentation
bin10011100110011…
…01100111001101
3102110101101220022
421303031213031
5314042420140
624152031525
74034355506
oct1163154715
9373341808
10164420045
11848a1239
12470925a5
13280aa58a
1417b9dbad
15e67c0b5
hex9ccd9cd

164420045 has 32 divisors (see below), whose sum is σ = 212012640. Its totient is φ = 122204160.

The previous prime is 164420041. The next prime is 164420057. The reversal of 164420045 is 540024461.

It can be written as a sum of positive squares in 16 ways, for example, as 4169764 + 160250281 = 2042^2 + 12659^2 .

It is not a de Polignac number, because 164420045 - 22 = 164420041 is a prime.

It is a super-3 number, since 3×1644200453 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164419996 and 164420023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164420041) 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, 401801 + ... + 402209.

It is an arithmetic number, because the mean of its divisors is an integer number (6625395).

Almost surely, 2164420045 is an apocalyptic number.

It is an amenable number.

164420045 is a deficient number, since it is larger than the sum of its proper divisors (47592595).

164420045 is a wasteful number, since it uses less digits than its factorization.

164420045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545.

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 164420045 is about 12822.6379891191. The cubic root of 164420045 is about 547.8372865255.

The spelling of 164420045 in words is "one hundred sixty-four million, four hundred twenty thousand, forty-five".

Divisors: 1 5 37 41 53 185 205 265 409 1517 1961 2045 2173 7585 9805 10865 15133 16769 21677 75665 80401 83845 108385 402005 620453 802049 888757 3102265 4010245 4443785 32884009 164420045