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14429448 = 2333116073
BaseRepresentation
bin110111000010…
…110100001000
31000011002111000
4313002310020
512143220243
61233135000
7233435235
oct67026410
930132430
1014429448
118166070
1249ba460
132cb2a47
141cb878c
1514005d3
hexdc2d08

14429448 has 64 divisors (see below), whose sum is σ = 43732800. Its totient is φ = 4371840.

The previous prime is 14429431. The next prime is 14429461. The reversal of 14429448 is 84492441.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661 + ... + 5412.

It is an arithmetic number, because the mean of its divisors is an integer number (683325).

Almost surely, 214429448 is an apocalyptic number.

14429448 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 14429448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21866400).

14429448 is an abundant number, since it is smaller than the sum of its proper divisors (29303352).

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

14429448 is a wasteful number, since it uses less digits than its factorization.

14429448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6099 (or 6089 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 14429448 is about 3798.6113252082. The cubic root of 14429448 is about 243.4538082771.

It can be divided in two parts, 144 and 29448, that added together give a palindrome (29592).

The spelling of 14429448 in words is "fourteen million, four hundred twenty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 6073 12146 18219 24292 36438 48584 54657 66803 72876 109314 133606 145752 163971 200409 218628 267212 327942 400818 437256 534424 601227 655884 801636 1202454 1311768 1603272 1803681 2404908 3607362 4809816 7214724 14429448