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14628992 = 27729563
BaseRepresentation
bin110111110011…
…100010000000
31000112020012112
4313303202000
512221111432
61241314452
7235226060
oct67634200
930466175
1014628992
118291a84
124a95a28
133052811
141d2b3a0
15143e7b2
hexdf3880

14628992 has 64 divisors (see below), whose sum is σ = 34516800. Its totient is φ = 6042624.

The previous prime is 14628979. The next prime is 14629009. The reversal of 14628992 is 29982641.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25703 + ... + 26265.

It is an arithmetic number, because the mean of its divisors is an integer number (539325).

Almost surely, 214628992 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 14628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258400).

14628992 is an abundant number, since it is smaller than the sum of its proper divisors (19887808).

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

14628992 is an equidigital number, since it uses as much as digits as its factorization.

14628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 601 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 14628992 is about 3824.7865299909. The cubic root of 14628992 is about 244.5709107459.

The spelling of 14628992 in words is "fourteen million, six hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 563 812 896 928 1126 1624 1856 2252 3248 3712 3941 4504 6496 7882 9008 12992 15764 16327 18016 25984 31528 32654 36032 63056 65308 72064 114289 126112 130616 228578 252224 261232 457156 504448 522464 914312 1044928 1828624 2089856 3657248 7314496 14628992