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11949856 = 252979163
BaseRepresentation
bin101101100101…
…011100100000
3211111010010021
4231211130200
511024343411
61104043224
7203400142
oct55453440
924433107
1011949856
116822116
124003514
132625229
141830c92
1510b0a71
hexb65720

11949856 has 48 divisors (see below), whose sum is σ = 24796800. Its totient is φ = 5660928.

The previous prime is 11949851. The next prime is 11949869. The reversal of 11949856 is 65894911.

It is not an unprimeable number, because it can be changed into a prime (11949851) 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, 73231 + ... + 73393.

It is an arithmetic number, because the mean of its divisors is an integer number (516600).

Almost surely, 211949856 is an apocalyptic number.

11949856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11949856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398400).

11949856 is an abundant number, since it is smaller than the sum of its proper divisors (12846944).

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

11949856 is a wasteful number, since it uses less digits than its factorization.

11949856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its digits is 77760, while the sum is 43.

The square root of 11949856 is about 3456.8563753792. The cubic root of 11949856 is about 228.6235113457.

The spelling of 11949856 in words is "eleven million, nine hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 79 116 158 163 232 316 326 464 632 652 928 1264 1304 2291 2528 2608 4582 4727 5216 9164 9454 12877 18328 18908 25754 36656 37816 51508 73312 75632 103016 151264 206032 373433 412064 746866 1493732 2987464 5974928 11949856