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14213248 = 27729547
BaseRepresentation
bin110110001110…
…000010000000
3222202002220121
4312032002000
512114310443
61224350024
7231545020
oct66160200
928662817
1014213248
118028695
124915314
132c3850a
141c5da80
1513ab4ed
hexd8e080

14213248 has 64 divisors (see below), whose sum is σ = 33537600. Its totient is φ = 5870592.

The previous prime is 14213239. The next prime is 14213249. The reversal of 14213248 is 84231241.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14213249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25711 + ... + 26257.

It is an arithmetic number, because the mean of its divisors is an integer number (524025).

Almost surely, 214213248 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 14213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16768800).

14213248 is an abundant number, since it is smaller than the sum of its proper divisors (19324352).

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

14213248 is an equidigital number, since it uses as much as digits as its factorization.

14213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 14213248 is about 3770.0461535636. The cubic root of 14213248 is about 242.2317748511.

Adding to 14213248 its reverse (84231241), we get a palindrome (98444489).

The spelling of 14213248 in words is "fourteen million, two hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 547 812 896 928 1094 1624 1856 2188 3248 3712 3829 4376 6496 7658 8752 12992 15316 15863 17504 25984 30632 31726 35008 61264 63452 70016 111041 122528 126904 222082 245056 253808 444164 490112 507616 888328 1015232 1776656 2030464 3553312 7106624 14213248