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109244448 = 25321753421
BaseRepresentation
bin1101000001011…
…11000000100000
321121120012012200
412200233000200
5210431310243
614501253200
72464363635
oct640570040
9247505180
10109244448
1156735a75
1230704200
131982c4b1
141071a18c
1598cdad3
hex682f020

109244448 has 144 divisors (see below), whose sum is σ = 335940696. Its totient is φ = 33546240.

The previous prime is 109244441. The next prime is 109244449. The reversal of 109244448 is 844442901.

It can be written as a sum of positive squares in 4 ways, for example, as 85155984 + 24088464 = 9228^2 + 4908^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (109244441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259278 + ... + 259698.

Almost surely, 2109244448 is an apocalyptic number.

109244448 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 109244448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167970348).

109244448 is an abundant number, since it is smaller than the sum of its proper divisors (226696248).

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

109244448 is a wasteful number, since it uses less digits than its factorization.

109244448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 109244448 is about 10452.0068886315. The cubic root of 109244448 is about 478.0424441340.

The spelling of 109244448 in words is "one hundred nine million, two hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 53 68 72 96 102 106 136 144 153 159 204 212 272 288 306 318 408 421 424 477 544 612 636 816 842 848 901 954 1224 1263 1272 1632 1684 1696 1802 1908 2448 2526 2544 2703 3368 3604 3789 3816 4896 5052 5088 5406 6736 7157 7208 7578 7632 8109 10104 10812 13472 14314 14416 15156 15264 16218 20208 21471 21624 22313 28628 28832 30312 32436 40416 42942 43248 44626 57256 60624 64413 64872 66939 85884 86496 89252 114512 121248 128826 129744 133878 171768 178504 200817 229024 257652 259488 267756 343536 357008 379321 401634 515304 535512 687072 714016 758642 803268 1030608 1071024 1137963 1517284 1606536 2061216 2142048 2275926 3034568 3213072 3413889 4551852 6069136 6426144 6827778 9103704 12138272 13655556 18207408 27311112 36414816 54622224 109244448