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14789148 = 22311181619
BaseRepresentation
bin111000011010…
…101000011100
31000211100220020
4320122220130
512241223043
61244552140
7236464023
oct70325034
930740806
1014789148
118391340
124b52650
1330aa69a
141d6d8ba
151471e83
hexe1aa1c

14789148 has 48 divisors (see below), whose sum is σ = 37914240. Its totient is φ = 4449600.

The previous prime is 14789147. The next prime is 14789149. The reversal of 14789148 is 84198741.

It is an interprime number because it is at equal distance from previous prime (14789147) and next prime (14789149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14789147) 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 15 ways as a sum of consecutive naturals, for example, 23583 + ... + 24201.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 214789148 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 14789148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

14789148 is an abundant number, since it is smaller than the sum of its proper divisors (23125092).

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

14789148 is a wasteful number, since it uses less digits than its factorization.

14789148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 816 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 14789148 is about 3845.6661321545. Note that the first 3 decimals coincide. The cubic root of 14789148 is about 245.4601818883.

The spelling of 14789148 in words is "fourteen million, seven hundred eighty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 181 362 543 619 724 1086 1238 1857 1991 2172 2476 3714 3982 5973 6809 7428 7964 11946 13618 20427 23892 27236 40854 81708 112039 224078 336117 448156 672234 1232429 1344468 2464858 3697287 4929716 7394574 14789148