Search a number
-
+
11449104 = 243972459
BaseRepresentation
bin101011101011…
…001100010000
3210112200012220
4223223030100
510412332404
61045221040
7166213212
oct53531420
923480186
1011449104
11650a977
123a01780
1324ab324
1417405b2
1510124d9
hexaeb310

11449104 has 40 divisors (see below), whose sum is σ = 29893920. Its totient is φ = 3775488.

The previous prime is 11449099. The next prime is 11449117. The reversal of 11449104 is 40194411.

It is a super-4 number, since 4×114491044 (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 3427 + ... + 5885.

It is an arithmetic number, because the mean of its divisors is an integer number (747348).

Almost surely, 211449104 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 11449104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946960).

11449104 is an abundant number, since it is smaller than the sum of its proper divisors (18444816).

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

11449104 is a wasteful number, since it uses less digits than its factorization.

11449104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11449104 is about 3383.6524644236. The cubic root of 11449104 is about 225.3843898483.

The spelling of 11449104 in words is "eleven million, four hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 2459 4656 4918 7377 9836 14754 19672 29508 39344 59016 118032 238523 477046 715569 954092 1431138 1908184 2862276 3816368 5724552 11449104