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164506276 = 22114532
BaseRepresentation
bin10011100111000…
…10101010100100
3102110112210012001
421303202222210
5314103200101
624153535044
74035165064
oct1163425244
9373483161
10164506276
1184950000
1247114484
132810a8bc
1417bc33a4
15e697901
hex9ce2aa4

164506276 has 45 divisors (see below), whose sum is σ = 322760305. Its totient is φ = 73364720.

The previous prime is 164506273. The next prime is 164506289. The reversal of 164506276 is 672605461.

It is a happy number.

The square root of 164506276 is 12826.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 118592100 + 45914176 = 10890^2 + 6776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164506273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3103866 + ... + 3103918.

Almost surely, 2164506276 is an apocalyptic number.

164506276 is the 12826-th square number.

It is an amenable number.

164506276 is a deficient number, since it is larger than the sum of its proper divisors (158254029).

164506276 is an frugal number, since it uses more digits than its factorization.

164506276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The cubic root of 164506276 is about 547.9330418838.

The spelling of 164506276 in words is "one hundred sixty-four million, five hundred six thousand, two hundred seventy-six".

Divisors: 1 2 4 11 22 44 53 106 121 212 242 484 583 1166 1331 2332 2662 2809 5324 5618 6413 11236 12826 14641 25652 29282 30899 58564 61798 70543 123596 141086 282172 339889 679778 775973 1359556 1551946 3103892 3738779 7477558 14955116 41126569 82253138 164506276