Search a number
-
+
14542848 = 21133263
BaseRepresentation
bin110111011110…
…100000000000
31000100212001000
4313132200000
512210332343
61235412000
7234416655
oct67364000
930325030
1014542848
118233291
124a54000
133022548
141d07c2c
151423ed3
hexdde800

14542848 has 96 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 4829184.

The previous prime is 14542817. The next prime is 14542849. The reversal of 14542848 is 84824541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×145428482 = 422988855902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14542849) 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, 55165 + ... + 55427.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 214542848 is an apocalyptic number.

14542848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14542848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

14542848 is an abundant number, since it is smaller than the sum of its proper divisors (28700352).

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

14542848 is an equidigital number, since it uses as much as digits as its factorization.

14542848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 14542848 is about 3813.5086206799. The cubic root of 14542848 is about 244.0899068482.

The spelling of 14542848 in words is "fourteen million, five hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 263 288 384 432 512 526 576 768 789 864 1024 1052 1152 1536 1578 1728 2048 2104 2304 2367 3072 3156 3456 4208 4608 4734 6144 6312 6912 7101 8416 9216 9468 12624 13824 14202 16832 18432 18936 25248 27648 28404 33664 37872 50496 55296 56808 67328 75744 100992 113616 134656 151488 201984 227232 269312 302976 403968 454464 538624 605952 807936 908928 1211904 1615872 1817856 2423808 3635712 4847616 7271424 14542848