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12049792 = 27234093
BaseRepresentation
bin101101111101…
…110110000000
3211200012012121
4231331312000
511041043132
61110134024
7204264406
oct55756600
924605177
1012049792
116890207
124051314
13265b871
141859476
1510d0497
hexb7dd80

12049792 has 32 divisors (see below), whose sum is σ = 25055280. Its totient is φ = 5761536.

The previous prime is 12049789. The next prime is 12049823. The reversal of 12049792 is 29794021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 898 + ... + 4990.

Almost surely, 212049792 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 12049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12527640).

12049792 is an abundant number, since it is smaller than the sum of its proper divisors (13005488).

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

12049792 is an equidigital number, since it uses as much as digits as its factorization.

12049792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 12049792 is about 3471.2810315502. The cubic root of 12049792 is about 229.2590649482.

The spelling of 12049792 in words is "twelve million, forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 4093 8186 16372 32744 65488 94139 130976 188278 261952 376556 523904 753112 1506224 3012448 6024896 12049792