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14414928 = 24311231187
BaseRepresentation
bin110110111111…
…010001010000
31000010100120020
4312333101100
512142234203
61232543440
7233345013
oct66772120
930110506
1014414928
118156170
1249b1b80
132ca9258
141cb337a
1513eb153
hexdbf450

14414928 has 80 divisors (see below), whose sum is σ = 42425856. Its totient is φ = 4174720.

The previous prime is 14414921. The next prime is 14414989. The reversal of 14414928 is 82941441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11551 + ... + 12737.

Almost surely, 214414928 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 14414928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928).

14414928 is an abundant number, since it is smaller than the sum of its proper divisors (28010928).

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

14414928 is a wasteful number, since it uses less digits than its factorization.

14414928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 14414928 is about 3796.6996194063. The cubic root of 14414928 is about 243.3721203365.

The spelling of 14414928 in words is "fourteen million, four hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1187 1518 2024 2374 3036 3561 4048 4748 6072 7122 9496 12144 13057 14244 18992 26114 27301 28488 39171 52228 54602 56976 78342 81903 104456 109204 156684 163806 208912 218408 300311 313368 327612 436816 600622 626736 655224 900933 1201244 1310448 1801866 2402488 3603732 4804976 7207464 14414928