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14252688 = 2432293413
BaseRepresentation
bin110110010111…
…101010010000
3222211010000100
4312113222100
512122041223
61225252400
7232101012
oct66275220
928733010
1014252688
11805528a
124934100
132c50458
141c701b2
1513b8043
hexd97a90

14252688 has 60 divisors (see below), whose sum is σ = 41275260. Its totient is φ = 4585728.

The previous prime is 14252687. The next prime is 14252701. The reversal of 14252688 is 88625241.

14252688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

14252688 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 3283344 = 3312^2 + 1812^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (14252683) 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, 2470 + ... + 5882.

It is an arithmetic number, because the mean of its divisors is an integer number (687921).

Almost surely, 214252688 is an apocalyptic number.

14252688 is a gapful number since it is divisible by the number (18) 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 14252688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637630).

14252688 is an abundant number, since it is smaller than the sum of its proper divisors (27022572).

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

14252688 is a wasteful number, since it uses less digits than its factorization.

14252688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3447 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 14252688 is about 3775.2732351447. The cubic root of 14252688 is about 242.4556223041.

The spelling of 14252688 in words is "fourteen million, two hundred fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 3413 4176 6826 10239 13652 20478 27304 30717 40956 54608 61434 81912 98977 122868 163824 197954 245736 296931 395908 491472 593862 791816 890793 1187724 1583632 1781586 2375448 3563172 4750896 7126344 14252688