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36148 = 2271291
BaseRepresentation
bin1000110100110100
31211120211
420310310
52124043
6435204
7210250
oct106464
954524
1036148
1125182
1218b04
13135b8
14d260
15aa9d
hex8d34

36148 has 12 divisors (see below), whose sum is σ = 72352. Its totient is φ = 15480.

The previous prime is 36137. The next prime is 36151. The reversal of 36148 is 84163.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

36148 is a modest number, since divided by 148 gives 36 as remainder.

It is a congruent number.

It is an unprimeable number.

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, 618 + ... + 673.

236148 is an apocalyptic number.

It is an amenable number.

36148 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36176).

36148 is a wasteful number, since it uses less digits than its factorization.

36148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1300 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 36148 is about 190.1262738287. The cubic root of 36148 is about 33.0644592555.

The spelling of 36148 in words is "thirty-six thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 1291 2582 5164 9037 18074 36148