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253248 = 2631319
BaseRepresentation
bin111101110101000000
3110212101120
4331311000
531100443
65232240
72103222
oct756500
9425346
10253248
111632a6
12102680
138b368
1468412
1550083
hex3dd40

253248 has 28 divisors (see below), whose sum is σ = 670560. Its totient is φ = 84352.

The previous prime is 253247. The next prime is 253273. The reversal of 253248 is 842352.

253248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 468 + ... + 851.

2253248 is an apocalyptic number.

It is an amenable number.

253248 is an abundant number, since it is smaller than the sum of its proper divisors (417312).

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

253248 is a wasteful number, since it uses less digits than its factorization.

253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1324 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 253248 is about 503.2375184741. The cubic root of 253248 is about 63.2676943834.

The spelling of 253248 in words is "two hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1319 2638 3957 5276 7914 10552 15828 21104 31656 42208 63312 84416 126624 253248