Search a number
-
+
14412608 = 26753607
BaseRepresentation
bin110110111110…
…101101000000
31000010020101022
4312332231000
512142200413
61232525012
7233335160
oct66765500
930106338
1014412608
118154451
1249b0768
132ca8192
141cb25a0
1513ea608
hexdbeb40

14412608 has 56 divisors (see below), whose sum is σ = 33357312. Its totient is φ = 6050304.

The previous prime is 14412589. The next prime is 14412641. The reversal of 14412608 is 80621441.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23441 + ... + 24047.

Almost surely, 214412608 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 14412608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678656).

14412608 is an abundant number, since it is smaller than the sum of its proper divisors (18944704).

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

14412608 is an equidigital number, since it uses as much as digits as its factorization.

14412608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 14412608 is about 3796.3940785962. The cubic root of 14412608 is about 243.3590631870.

The spelling of 14412608 in words is "fourteen million, four hundred twelve thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 607 742 848 1214 1484 1696 2428 2968 3392 4249 4856 5936 8498 9712 11872 16996 19424 23744 32171 33992 38848 64342 67984 128684 135968 225197 257368 271936 450394 514736 900788 1029472 1801576 2058944 3603152 7206304 14412608