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12049408 = 2107412
BaseRepresentation
bin101101111101…
…110000000000
3211200011200101
4231331300000
511041040113
61110132144
7204263320
oct55756000
924604611
1012049408
11688a998
124051054
13265b637
141859280
1510d02dd
hexb7dc00

12049408 has 66 divisors (see below), whose sum is σ = 28215848. Its totient is φ = 5038080.

The previous prime is 12049399. The next prime is 12049423. The reversal of 12049408 is 80494021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 293868 + ... + 293908.

Almost surely, 212049408 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 12049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107924).

12049408 is an abundant number, since it is smaller than the sum of its proper divisors (16166440).

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

12049408 is an frugal number, since it uses more digits than its factorization.

12049408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12049408 is about 3471.2257201167. The cubic root of 12049408 is about 229.2566295973.

Multiplying 12049408 by its sum of digits (28), we get a square (337383424 = 183682).

12049408 divided by its sum of digits (28) gives a square (430336 = 6562).

The spelling of 12049408 in words is "twelve million, forty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 512 574 656 896 1024 1148 1312 1681 1792 2296 2624 3362 3584 4592 5248 6724 7168 9184 10496 11767 13448 18368 20992 23534 26896 36736 41984 47068 53792 73472 94136 107584 146944 188272 215168 293888 376544 430336 753088 860672 1506176 1721344 3012352 6024704 12049408