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14928912 = 2432432411
BaseRepresentation
bin111000111100…
…110000010000
31001002110121200
4320330300100
512310211122
61251551200
7240615345
oct70746020
931073550
1014928912
118477349
124bbb500
13312919b
141da87cc
15149d5ac
hexe3cc10

14928912 has 60 divisors (see below), whose sum is σ = 42769584. Its totient is φ = 4858560.

The previous prime is 14928847. The next prime is 14928913. The reversal of 14928912 is 21982941.

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

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

It is not an unprimeable number, because it can be changed into a prime (14928913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4987 + ... + 7397.

Almost surely, 214928912 is an apocalyptic number.

14928912 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 14928912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384792).

14928912 is an abundant number, since it is smaller than the sum of its proper divisors (27840672).

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

14928912 is a wasteful number, since it uses less digits than its factorization.

14928912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2459 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 14928912 is about 3863.7950256192. The cubic root of 14928912 is about 246.2309946080.

It can be divided in two parts, 1492 and 8912, that added together give a square (10404 = 1022).

The spelling of 14928912 in words is "fourteen million, nine hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 2411 3096 4822 6192 7233 9644 14466 19288 21699 28932 38576 43398 57864 86796 103673 115728 173592 207346 311019 347184 414692 622038 829384 933057 1244076 1658768 1866114 2488152 3732228 4976304 7464456 14928912