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4164498 = 232132372
BaseRepresentation
bin1111111000101110010010
321211120121200
433320232102
52031230443
6225132030
750253252
oct17705622
97746550
104164498
112394938
12148a016
13b2a700
147a5962
15573dd3
hex3f8b92

4164498 has 54 divisors (see below), whose sum is σ = 10041759. Its totient is φ = 1246752.

The previous prime is 4164497. The next prime is 4164499. The reversal of 4164498 is 8944614.

It is a happy number.

4164498 is a `hidden beast` number, since 4 + 1 + 644 + 9 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4164497) and next prime (4164499).

It can be written as a sum of positive squares in 5 ways, for example, as 2350089 + 1814409 = 1533^2 + 1347^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1443.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (27648) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (4164497) 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 26 ways as a sum of consecutive naturals, for example, 112536 + ... + 112572.

Almost surely, 24164498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164498

4164498 is an abundant number, since it is smaller than the sum of its proper divisors (5877261).

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

4164498 is a wasteful number, since it uses less digits than its factorization.

4164498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 55 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4164498 is about 2040.7101705044. The cubic root of 4164498 is about 160.8869749274.

The spelling of 4164498 in words is "four million, one hundred sixty-four thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 169 222 234 333 338 481 507 666 962 1014 1369 1443 1521 2738 2886 3042 4107 4329 6253 8214 8658 12321 12506 17797 18759 24642 35594 37518 53391 56277 106782 112554 160173 231361 320346 462722 694083 1388166 2082249 4164498