Search a number
-
+
14083488 = 253279619
BaseRepresentation
bin110101101110…
…010110100000
3222111111220200
4311232112200
512101132423
61221505200
7230464506
oct65562640
928444820
1014083488
117a4a151
124872200
132bc1433
141c28676
151382d43
hexd6e5a0

14083488 has 72 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 4627584.

The previous prime is 14083483. The next prime is 14083501. The reversal of 14083488 is 88438041.

14083488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×140834882 = 396689268492288, which contains 22 as substring.

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 (14083481) 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, 22443 + ... + 23061.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 214083488 is an apocalyptic number.

14083488 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 14083488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

14083488 is an abundant number, since it is smaller than the sum of its proper divisors (26538912).

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

14083488 is a wasteful number, since it uses less digits than its factorization.

14083488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 14083488 is about 3752.7973566394. The cubic root of 14083488 is about 241.4923675944.

The spelling of 14083488 in words is "fourteen million, eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 619 632 711 948 1238 1264 1422 1857 1896 2476 2528 2844 3714 3792 4952 5571 5688 7428 7584 9904 11142 11376 14856 19808 22284 22752 29712 44568 48901 59424 89136 97802 146703 178272 195604 293406 391208 440109 586812 782416 880218 1173624 1564832 1760436 2347248 3520872 4694496 7041744 14083488