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148288 = 267331
BaseRepresentation
bin100100001101000000
321112102011
4210031000
514221123
63102304
71155220
oct441500
9245364
10148288
11a1458
1271994
135265a
143c080
152de0d
hex24340

148288 has 28 divisors (see below), whose sum is σ = 337312. Its totient is φ = 63360.

The previous prime is 148279. The next prime is 148301. The reversal of 148288 is 882841.

It is a tau number, because it is divible by the number of its divisors (28).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283 + ... + 613.

2148288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168656).

148288 is an abundant number, since it is smaller than the sum of its proper divisors (189024).

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

148288 is an equidigital number, since it uses as much as digits as its factorization.

148288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its digits is 4096, while the sum is 31.

The square root of 148288 is about 385.0818094899. The cubic root of 148288 is about 52.9300132357.

It can be divided in two parts, 148 and 288, that multiplied together give a palindrome (42624).

The spelling of 148288 in words is "one hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 331 448 662 1324 2317 2648 4634 5296 9268 10592 18536 21184 37072 74144 148288