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248274 = 232131061
BaseRepresentation
bin111100100111010010
3110121120100
4330213102
530421044
65153230
72052555
oct744722
9417510
10248274
1115a594
12bb816
1389010
146669c
154d869
hex3c9d2

248274 has 24 divisors (see below), whose sum is σ = 579852. Its totient is φ = 76320.

The previous prime is 248267. The next prime is 248291. The reversal of 248274 is 472842.

It can be written as a sum of positive squares in 2 ways, for example, as 245025 + 3249 = 495^2 + 57^2 .

It is a Curzon number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248274.

It is an unprimeable number.

248274 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 11 ways as a sum of consecutive naturals, for example, 297 + ... + 764.

2248274 is an apocalyptic number.

248274 is an abundant number, since it is smaller than the sum of its proper divisors (331578).

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

248274 is a wasteful number, since it uses less digits than its factorization.

248274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1079 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 248274 is about 498.2710105956. The cubic root of 248274 is about 62.8507426581.

It can be divided in two parts, 2482 and 74, that added together give a triangular number (2556 = T71).

The spelling of 248274 in words is "two hundred forty-eight thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1061 2122 3183 6366 9549 13793 19098 27586 41379 82758 124137 248274