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14313152 = 26743743
BaseRepresentation
bin110110100110…
…011011000000
3222221011221202
4312212123000
512131010102
61230440332
7232442210
oct66463300
928834852
1014313152
118096757
1249630a8
132c71b29
141c88240
1513cae02
hexda66c0

14313152 has 56 divisors (see below), whose sum is σ = 33259776. Its totient is φ = 5983488.

The previous prime is 14313151. The next prime is 14313157. The reversal of 14313152 is 25131341.

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

It is not an unprimeable number, because it can be changed into a prime (14313151) 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, 18893 + ... + 19635.

Almost surely, 214313152 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 14313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16629888).

14313152 is an abundant number, since it is smaller than the sum of its proper divisors (18946624).

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

14313152 is an equidigital number, since it uses as much as digits as its factorization.

14313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 14313152 is about 3783.2726573695. The cubic root of 14313152 is about 242.7979940975.

Adding to 14313152 its reverse (25131341), we get a palindrome (39444493).

The spelling of 14313152 in words is "fourteen million, three hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 743 1204 1376 1486 2408 2752 2972 4816 5201 5944 9632 10402 11888 19264 20804 23776 31949 41608 47552 63898 83216 127796 166432 223643 255592 332864 447286 511184 894572 1022368 1789144 2044736 3578288 7156576 14313152