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148248 = 23322971
BaseRepresentation
bin100100001100011000
321112100200
4210030120
514220443
63102200
71155132
oct441430
9245320
10148248
11a1421
1271960
1352629
143c052
152ddd3
hex24318

148248 has 48 divisors (see below), whose sum is σ = 421200. Its totient is φ = 47040.

The previous prime is 148243. The next prime is 148249. The reversal of 148248 is 842841.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2053 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2148248 is an apocalyptic number.

148248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210600).

148248 is an abundant number, since it is smaller than the sum of its proper divisors (272952).

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

148248 is a wasteful number, since it uses less digits than its factorization.

148248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 148248 is about 385.0298689712. The cubic root of 148248 is about 52.9252535992.

The spelling of 148248 in words is "one hundred forty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 71 72 87 116 142 174 213 232 261 284 348 426 522 568 639 696 852 1044 1278 1704 2059 2088 2556 4118 5112 6177 8236 12354 16472 18531 24708 37062 49416 74124 148248