Search a number
-
+
248454 = 23343107
BaseRepresentation
bin111100101010000110
3110121211000
4330222012
530422304
65154130
72053233
oct745206
9417730
10248454
1115a738
12bb946
138911b
146678a
154d939
hex3ca86

248454 has 32 divisors (see below), whose sum is σ = 570240. Its totient is φ = 80136.

The previous prime is 248447. The next prime is 248461. The reversal of 248454 is 454842.

248454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248447) and next prime (248461).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

248454 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 15 ways as a sum of consecutive naturals, for example, 2269 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2248454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285120).

248454 is an abundant number, since it is smaller than the sum of its proper divisors (321786).

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

248454 is a wasteful number, since it uses less digits than its factorization.

248454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 248454 is about 498.4516024651. The cubic root of 248454 is about 62.8659280322.

The spelling of 248454 in words is "two hundred forty-eight thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 43 54 86 107 129 214 258 321 387 642 774 963 1161 1926 2322 2889 4601 5778 9202 13803 27606 41409 82818 124227 248454