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44106240 = 29355743
BaseRepresentation
bin1010100001000…
…0001000000000
310001222211101110
42220100020000
542242344430
64213203320
71043616423
oct250201000
9101884343
1044106240
1122995742
1212930540
1391a3889
145c019ba
153d137b0
hex2a10200

44106240 has 80 divisors (see below), whose sum is σ = 141026688. Its totient is φ = 11759616.

The previous prime is 44106221. The next prime is 44106241. The reversal of 44106240 is 4260144.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (44106241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4809 + ... + 10551.

Almost surely, 244106240 is an apocalyptic number.

44106240 is a gapful number since it is divisible by the number (40) 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 44106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70513344).

44106240 is an abundant number, since it is smaller than the sum of its proper divisors (96920448).

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

44106240 is an equidigital number, since it uses as much as digits as its factorization.

44106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 44106240 is about 6641.2528938447. The cubic root of 44106240 is about 353.3187447005.

Adding to 44106240 its reverse (4260144), we get a palindrome (48366384).

The spelling of 44106240 in words is "forty-four million, one hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 5743 7680 11486 17229 22972 28715 34458 45944 57430 68916 86145 91888 114860 137832 172290 183776 229720 275664 344580 367552 459440 551328 689160 735104 918880 1102656 1378320 1470208 1837760 2205312 2756640 2940416 3675520 4410624 5513280 7351040 8821248 11026560 14702080 22053120 44106240