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14984641 = 74792
BaseRepresentation
bin111001001010…
…010111000001
31001012022001201
4321022113001
512314002031
61253101201
7241240000
oct71122701
931168051
1014984641
118505201
125027801
133148669
141dc0c37
1514aed61
hexe4a5c1

14984641 has 15 divisors (see below), whose sum is σ = 17705121. Its totient is φ = 12681396.

The previous prime is 14984623. The next prime is 14984647. The reversal of 14984641 is 14648941.

The square root of 14984641 is 3871.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 14984641 - 25 = 14984609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14984641.

It is not an unprimeable number, because it can be changed into a prime (14984647) 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 14 ways as a sum of consecutive naturals, for example, 189640 + ... + 189718.

Almost surely, 214984641 is an apocalyptic number.

14984641 is the 3871-st square number.

14984641 is the 1936-th centered octagonal number.

It is an amenable number.

14984641 is a deficient number, since it is larger than the sum of its proper divisors (2720480).

14984641 is an frugal number, since it uses more digits than its factorization.

14984641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 86 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The cubic root of 14984641 is about 246.5370041286.

It can be divided in two parts, 14984 and 641, that added together give a 6-th power (15625 = 56).

The spelling of 14984641 in words is "fourteen million, nine hundred eighty-four thousand, six hundred forty-one".

Divisors: 1 7 49 79 343 553 2401 3871 6241 27097 43687 189679 305809 2140663 14984641