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11889344 = 262341197
BaseRepresentation
bin101101010110…
…101011000000
3211101001010002
4231112223000
511020424334
61102455132
7203025545
oct55265300
924331102
1011889344
116790705
123b944a8
13260381c
141816bcc
15109cb7e
hexb56ac0

11889344 has 56 divisors (see below), whose sum is σ = 25347168. Its totient is φ = 5519360.

The previous prime is 11889343. The next prime is 11889373. The reversal of 11889344 is 44398811.

It is a junction number, because it is equal to n+sod(n) for n = 11889298 and 11889307.

It is not an unprimeable number, because it can be changed into a prime (11889343) 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, 60254 + ... + 60450.

It is an arithmetic number, because the mean of its divisors is an integer number (452628).

Almost surely, 211889344 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 11889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12673584).

11889344 is an abundant number, since it is smaller than the sum of its proper divisors (13457824).

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

11889344 is a wasteful number, since it uses less digits than its factorization.

11889344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 11889344 is about 3448.0928061756. The cubic root of 11889344 is about 228.2369548434.

The spelling of 11889344 in words is "eleven million, eight hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 164 184 197 328 368 394 656 736 788 943 1312 1472 1576 1886 2624 3152 3772 4531 6304 7544 8077 9062 12608 15088 16154 18124 30176 32308 36248 60352 64616 72496 129232 144992 185771 258464 289984 371542 516928 743084 1486168 2972336 5944672 11889344