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84148 = 22109193
BaseRepresentation
bin10100100010110100
311021102121
4110202310
510143043
61445324
7500221
oct244264
9137377
1084148
1158249
1240844
132c3bc
1422948
1519ded
hex148b4

84148 has 12 divisors (see below), whose sum is σ = 149380. Its totient is φ = 41472.

The previous prime is 84143. The next prime is 84163.

84148 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 44944 = 198^2 + 212^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

84148 is a modest number, since divided by 148 gives 84 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 340 + ... + 532.

284148 is an apocalyptic number.

It is an amenable number.

84148 is a deficient number, since it is larger than the sum of its proper divisors (65232).

84148 is a wasteful number, since it uses less digits than its factorization.

84148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 304 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 84148 is about 290.0827468155. The cubic root of 84148 is about 43.8208972931.

It can be divided in two parts, 84 and 148, that added together give a palindrome (232).

The spelling of 84148 in words is "eighty-four thousand, one hundred forty-eight".

Divisors: 1 2 4 109 193 218 386 436 772 21037 42074 84148