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12047472 = 243283663
BaseRepresentation
bin101101111101…
…010001110000
3211200002000200
4231331101300
511041004342
61110115200
7204254553
oct55752160
924602020
1012047472
116889498
12404bb00
13265a7a8
14185869a
1510ce94c
hexb7d470

12047472 has 30 divisors (see below), whose sum is σ = 33716592. Its totient is φ = 4015776.

The previous prime is 12047449. The next prime is 12047473. The reversal of 12047472 is 27474021.

It is a happy number.

12047472 is a `hidden beast` number, since 120 + 474 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12047473) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 41688 + ... + 41975.

Almost surely, 212047472 is an apocalyptic number.

12047472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12047472 is an abundant number, since it is smaller than the sum of its proper divisors (21669120).

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

12047472 is a wasteful number, since it uses less digits than its factorization.

12047472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83677 (or 83668 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 12047472 is about 3470.9468448825. The cubic root of 12047472 is about 229.2443505817.

The spelling of 12047472 in words is "twelve million, forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 83663 167326 250989 334652 501978 669304 752967 1003956 1338608 1505934 2007912 3011868 4015824 6023736 12047472