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14480032 = 257127509
BaseRepresentation
bin110111001111…
…001010100000
31000020122212111
4313033022200
512201330112
61234205104
7234035560
oct67171240
930218774
1014480032
1181a0076
124a23794
132ccca88
141cccda0
1514105a7
hexdcf2a0

14480032 has 48 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 6144768.

The previous prime is 14480029. The next prime is 14480051. The reversal of 14480032 is 23008441.

14480032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14479985 and 14480012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28194 + ... + 28702.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 214480032 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 14480032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

14480032 is an abundant number, since it is smaller than the sum of its proper divisors (18421088).

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

14480032 is a wasteful number, since it uses less digits than its factorization.

14480032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 14480032 is about 3805.2637227924. The cubic root of 14480032 is about 243.7379610973.

Adding to 14480032 its reverse (23008441), we get a palindrome (37488473).

The spelling of 14480032 in words is "fourteen million, four hundred eighty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 508 509 889 1016 1018 1778 2032 2036 3556 3563 4064 4072 7112 7126 8144 14224 14252 16288 28448 28504 57008 64643 114016 129286 258572 452501 517144 905002 1034288 1810004 2068576 3620008 7240016 14480032