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31248 = 2432731
BaseRepresentation
bin111101000010000
31120212100
413220100
51444443
6400400
7160050
oct75020
946770
1031248
1121528
1216100
13112b9
14b560
1593d3
hex7a10

31248 has 60 divisors (see below), whose sum is σ = 103168. Its totient is φ = 8640.

The previous prime is 31247. The next prime is 31249. The reversal of 31248 is 84213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31247) and next prime (31249).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 31248.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31248.

It is not an unprimeable number, because it can be changed into a prime (31247) 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, 993 + ... + 1023.

231248 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 31248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51584).

31248 is an abundant number, since it is smaller than the sum of its proper divisors (71920).

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

31248 is a wasteful number, since it uses less digits than its factorization.

31248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 43 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 31248 is about 176.7710383519. The cubic root of 31248 is about 31.4973542751.

The spelling of 31248 in words is "thirty-one thousand, two hundred forty-eight".