Search a number
-
+
14418448 = 2411176179
BaseRepresentation
bin110111000000…
…001000010000
31000010112101121
4313000020100
512142342243
61233012024
7233361202
oct67001020
930115347
1014418448
118158880
1249b4014
132caaa35
141cb4772
1513ec1ed
hexdc0210

14418448 has 80 divisors (see below), whose sum is σ = 33212160. Its totient is φ = 5990400.

The previous prime is 14418433. The next prime is 14418463. The reversal of 14418448 is 84481441.

It is an interprime number because it is at equal distance from previous prime (14418433) and next prime (14418463).

It is a Harshad number since it is a multiple of its sum of digits (34).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182473 + ... + 182551.

It is an arithmetic number, because the mean of its divisors is an integer number (415152).

Almost surely, 214418448 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 14418448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606080).

14418448 is an abundant number, since it is smaller than the sum of its proper divisors (18793712).

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

14418448 is a wasteful number, since it uses less digits than its factorization.

14418448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 14418448 is about 3797.1631516173. The cubic root of 14418448 is about 243.3919285091.

Adding to 14418448 its reverse (84481441), we get a palindrome (98899889).

It can be divided in two parts, 1441 and 8448, that added together give a palindrome (9889).

The spelling of 14418448 in words is "fourteen million, four hundred eighteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 61 68 79 88 122 136 158 176 187 244 272 316 374 488 632 671 748 869 976 1037 1264 1342 1343 1496 1738 2074 2684 2686 2992 3476 4148 4819 5368 5372 6952 8296 9638 10736 10744 11407 13904 14773 16592 19276 21488 22814 29546 38552 45628 53009 59092 77104 81923 91256 106018 118184 163846 182512 212036 236368 327692 424072 655384 848144 901153 1310768 1802306 3604612 7209224 14418448