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14292928 = 261341419
BaseRepresentation
bin110110100001…
…011111000000
3222220011012201
4312201133000
512124333203
61230202544
7232326226
oct66413700
928804181
1014292928
118082541
124953454
132c65870
141c80b16
1513c4e1d
hexda17c0

14292928 has 56 divisors (see below), whose sum is σ = 31363920. Its totient is φ = 6420480.

The previous prime is 14292893. The next prime is 14292931. The reversal of 14292928 is 82929241.

It is a congruent number.

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, 33903 + ... + 34321.

It is an arithmetic number, because the mean of its divisors is an integer number (560070).

Almost surely, 214292928 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 14292928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681960).

14292928 is an abundant number, since it is smaller than the sum of its proper divisors (17070992).

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

14292928 is a wasteful number, since it uses less digits than its factorization.

14292928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 14292928 is about 3780.5988943552. The cubic root of 14292928 is about 242.6835850755.

The spelling of 14292928 in words is "fourteen million, two hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 419 533 656 832 838 1066 1312 1676 2132 2624 3352 4264 5447 6704 8528 10894 13408 17056 17179 21788 26816 34112 34358 43576 68716 87152 137432 174304 223327 274864 348608 446654 549728 893308 1099456 1786616 3573232 7146464 14292928