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248948 = 22717523
BaseRepresentation
bin111100110001110100
3110122111022
4330301310
530431243
65200312
72054540
oct746164
9418438
10248948
11160047
12100098
138940b
1466a20
154db68
hex3cc74

248948 has 24 divisors (see below), whose sum is σ = 528192. Its totient is φ = 100224.

The previous prime is 248909. The next prime is 248971. The reversal of 248948 is 849842.

It is a congruent number.

It is an unprimeable number.

248948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (22008).

2248948 is an apocalyptic number.

248948 is a gapful number since it is divisible by the number (28) 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 248948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264096).

248948 is an abundant number, since it is smaller than the sum of its proper divisors (279244).

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

248948 is a wasteful number, since it uses less digits than its factorization.

248948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 248948 is about 498.9468909614. The cubic root of 248948 is about 62.9075657981.

The spelling of 248948 in words is "two hundred forty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 523 1046 2092 3661 7322 8891 14644 17782 35564 62237 124474 248948