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14211848 = 23719337
BaseRepresentation
bin110110001101…
…101100001000
3222202000222202
4312031230020
512114234343
61224335332
7231540650
oct66155410
928660882
1014211848
118027632
124914548
132c379a1
141c5d360
1513aadb8
hexd8db08

14211848 has 64 divisors (see below), whose sum is σ = 33014400. Its totient is φ = 5614272.

The previous prime is 14211817. The next prime is 14211853. The reversal of 14211848 is 84811241.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14211848.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 384086 + ... + 384122.

It is an arithmetic number, because the mean of its divisors is an integer number (515850).

Almost surely, 214211848 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 14211848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507200).

14211848 is an abundant number, since it is smaller than the sum of its proper divisors (18802552).

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

14211848 is an equidigital number, since it uses as much as digits as its factorization.

14211848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 14211848 is about 3769.8604748717. The cubic root of 14211848 is about 242.2238213413.

The spelling of 14211848 in words is "fourteen million, two hundred eleven thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 37 38 56 74 76 133 148 152 259 266 296 361 518 532 703 722 1036 1064 1406 1444 2072 2527 2812 2888 4921 5054 5624 6859 9842 10108 13357 13718 19684 20216 26714 27436 39368 48013 53428 54872 93499 96026 106856 186998 192052 253783 373996 384104 507566 747992 1015132 1776481 2030264 3552962 7105924 14211848