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14077248 = 263157467
BaseRepresentation
bin110101101100…
…110101000000
3222111012100120
4311230311000
512100432443
61221420240
7230440353
oct65546500
928435316
1014077248
117a45499
12486a680
132bbb643
141c2629a
151381083
hexd6cd40

14077248 has 56 divisors (see below), whose sum is σ = 37563552. Its totient is φ = 4652544.

The previous prime is 14077243. The next prime is 14077253. The reversal of 14077248 is 84277041.

It is an interprime number because it is at equal distance from previous prime (14077243) and next prime (14077253).

It is a super-2 number, since 2×140772482 = 396337822507008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14077243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29911 + ... + 30377.

Almost surely, 214077248 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 14077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18781776).

14077248 is an abundant number, since it is smaller than the sum of its proper divisors (23486304).

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

14077248 is a wasteful number, since it uses less digits than its factorization.

14077248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 14077248 is about 3751.9658847063. The cubic root of 14077248 is about 241.4566961522.

The spelling of 14077248 in words is "fourteen million, seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 467 471 628 934 942 1256 1401 1868 1884 2512 2802 3736 3768 5024 5604 7472 7536 10048 11208 14944 15072 22416 29888 30144 44832 73319 89664 146638 219957 293276 439914 586552 879828 1173104 1759656 2346208 3519312 4692416 7038624 14077248