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4144248 = 233257559
BaseRepresentation
bin1111110011110001111000
321210112211200
433303301320
52030103443
6224454200
750140233
oct17636170
97715750
104144248
1123806a9
12147a360
13b21424
1479c41a
1556cdd3
hex3f3c78

4144248 has 24 divisors (see below), whose sum is σ = 11224200. Its totient is φ = 1381392.

The previous prime is 4144247. The next prime is 4144249. The reversal of 4144248 is 8424414.

It is a happy number.

4144248 is a `hidden beast` number, since 414 + 4 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (4144247) and next prime (4144249).

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28708 + ... + 28851.

It is an arithmetic number, because the mean of its divisors is an integer number (467675).

Almost surely, 24144248 is an apocalyptic number.

It is an amenable number.

4144248 is an abundant number, since it is smaller than the sum of its proper divisors (7079952).

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

4144248 is a wasteful number, since it uses less digits than its factorization.

4144248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57571 (or 57564 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 4144248 is about 2035.7426163442. The cubic root of 4144248 is about 160.6257784839.

The spelling of 4144248 in words is "four million, one hundred forty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 57559 115118 172677 230236 345354 460472 518031 690708 1036062 1381416 2072124 4144248