Search a number
-
+
14608416 = 253198009
BaseRepresentation
bin110111101110…
…100000100000
31000111011222110
4313232200200
512214432131
61241035320
7235112064
oct67564040
930434873
1014608416
118278579
124a85b40
133046344
141d23aa4
151438646
hexdee820

14608416 has 48 divisors (see below), whose sum is σ = 40370400. Its totient is φ = 4612608.

The previous prime is 14608411. The next prime is 14608417. The reversal of 14608416 is 61480641.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14608411) by changing a digit.

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, 2181 + ... + 5828.

It is an arithmetic number, because the mean of its divisors is an integer number (841050).

Almost surely, 214608416 is an apocalyptic number.

14608416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14608416 is an abundant number, since it is smaller than the sum of its proper divisors (25761984).

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

14608416 is a wasteful number, since it uses less digits than its factorization.

14608416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041 (or 8033 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14608416 is about 3822.0957601818. The cubic root of 14608416 is about 244.4561921504.

The spelling of 14608416 in words is "fourteen million, six hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 8009 16018 24027 32036 48054 64072 96108 128144 152171 192216 256288 304342 384432 456513 608684 768864 913026 1217368 1826052 2434736 3652104 4869472 7304208 14608416