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14249792 = 26534201
BaseRepresentation
bin110110010110…
…111101000000
3222210222001002
4312112331000
512121443132
61225231132
7232056404
oct66267500
928728032
1014249792
118053097
1249324a8
132c4c03b
141c6d104
1513b7262
hexd96f40

14249792 has 28 divisors (see below), whose sum is σ = 28817316. Its totient is φ = 6988800.

The previous prime is 14249777. The next prime is 14249797. The reversal of 14249792 is 29794241.

14249792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4910656 + 9339136 = 2216^2 + 3056^2 .

It is a pancake number, because a pancake can be divided into 14249792 parts by 5338 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14249797) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1292 + ... + 5492.

Almost surely, 214249792 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 14249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408658).

14249792 is an abundant number, since it is smaller than the sum of its proper divisors (14567524).

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

14249792 is an equidigital number, since it uses as much as digits as its factorization.

14249792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4256 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 14249792 is about 3774.8896672618. The cubic root of 14249792 is about 242.4391996933.

The spelling of 14249792 in words is "fourteen million, two hundred forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 4201 8402 16804 33608 67216 134432 222653 268864 445306 890612 1781224 3562448 7124896 14249792