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145248 = 2531789
BaseRepresentation
bin100011011101100000
321101020120
4203131200
514121443
63040240
71143315
oct433540
9241216
10145248
119a144
1270080
135115c
143ad0c
152d083
hex23760

145248 has 48 divisors (see below), whose sum is σ = 408240. Its totient is φ = 45056.

The previous prime is 145219. The next prime is 145253. The reversal of 145248 is 842541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1588 + ... + 1676.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2145248 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 145248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204120).

145248 is an abundant number, since it is smaller than the sum of its proper divisors (262992).

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

145248 is a wasteful number, since it uses less digits than its factorization.

145248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 145248 is about 381.1141561265. The cubic root of 145248 is about 52.5658131548.

Adding to 145248 its reverse (842541), we get a palindrome (987789).

It can be divided in two parts, 1452 and 48, that multiplied together give a palindrome (69696).

The spelling of 145248 in words is "one hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 89 96 102 136 178 204 267 272 356 408 534 544 712 816 1068 1424 1513 1632 2136 2848 3026 4272 4539 6052 8544 9078 12104 18156 24208 36312 48416 72624 145248