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14454432 = 2532311619
BaseRepresentation
bin110111001000…
…111010100000
31000012100202100
4313020322200
512200020212
61233450400
7233601126
oct67107240
930170670
1014454432
118182913
124a10a00
132cc1225
141cc3916
151407bdc
hexdc8ea0

14454432 has 72 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 4659840.

The previous prime is 14454431. The next prime is 14454443. The reversal of 14454432 is 23445441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 14454396 and 14454405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14454431) 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 11 ways as a sum of consecutive naturals, for example, 8119 + ... + 9737.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 214454432 is an apocalyptic number.

14454432 is a gapful number since it is divisible by the number (12) 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 14454432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

14454432 is an abundant number, since it is smaller than the sum of its proper divisors (28002528).

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

14454432 is a wasteful number, since it uses less digits than its factorization.

14454432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1655 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 14454432 is about 3801.8984731315. The cubic root of 14454432 is about 243.5942373684.

Adding to 14454432 its reverse (23445441), we get a palindrome (37899873).

The spelling of 14454432 in words is "fourteen million, four hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 1619 2232 2976 3238 4464 4857 6476 8928 9714 12952 14571 19428 25904 29142 38856 50189 51808 58284 77712 100378 116568 150567 155424 200756 233136 301134 401512 451701 466272 602268 803024 903402 1204536 1606048 1806804 2409072 3613608 4818144 7227216 14454432