Search a number
-
+
11449908 = 22321753353
BaseRepresentation
bin101011101011…
…011000110100
3210112201022200
4223223120310
510412344113
61045224500
7166215441
oct53533064
923481280
1011449908
116510538
123a02130
1324ab7c2
1417409c8
151012873
hexaeb634

11449908 has 72 divisors (see below), whose sum is σ = 31312008. Its totient is φ = 3514368.

The previous prime is 11449903. The next prime is 11449927. The reversal of 11449908 is 80994411.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 7717284 = 1932^2 + 2778^2 .

It is a super-2 number, since 2×114499082 = 262200786416928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11449903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32260 + ... + 32612.

It is an arithmetic number, because the mean of its divisors is an integer number (434889).

Almost surely, 211449908 is an apocalyptic number.

11449908 is a gapful number since it is divisible by the number (18) 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 11449908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15656004).

11449908 is an abundant number, since it is smaller than the sum of its proper divisors (19862100).

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

11449908 is a wasteful number, since it uses less digits than its factorization.

11449908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11449908 is about 3383.7712688656. The cubic root of 11449908 is about 225.3896655102.

The spelling of 11449908 in words is "eleven million, four hundred forty-nine thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 353 477 612 636 706 901 954 1059 1412 1802 1908 2118 2703 3177 3604 4236 5406 6001 6354 8109 10812 12002 12708 16218 18003 18709 24004 32436 36006 37418 54009 56127 72012 74836 108018 112254 168381 216036 224508 318053 336762 636106 673524 954159 1272212 1908318 2862477 3816636 5724954 11449908