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44114240 = 265314447
BaseRepresentation
bin1010100001001…
…0000101000000
310002000020100202
42220102011000
542243123430
64213304332
71043651642
oct250220500
9102006322
1044114240
11229a0755
12129350a8
1391a7401
145c04892
153d15d45
hex2a12140

44114240 has 56 divisors (see below), whose sum is σ = 108460032. Its totient is φ = 17072640.

The previous prime is 44114233. The next prime is 44114267. The reversal of 44114240 is 4241144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7697 + ... + 12143.

Almost surely, 244114240 is an apocalyptic number.

44114240 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 44114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54230016).

44114240 is an abundant number, since it is smaller than the sum of its proper divisors (64345792).

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

44114240 is a wasteful number, since it uses less digits than its factorization.

44114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495 (or 4485 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 44114240 is about 6641.8551625280. The cubic root of 44114240 is about 353.3401050876.

Adding to 44114240 its reverse (4241144), we get a palindrome (48355384).

The spelling of 44114240 in words is "forty-four million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4447 4960 8894 9920 17788 22235 35576 44470 71152 88940 137857 142304 177880 275714 284608 355760 551428 689285 711520 1102856 1378570 1423040 2205712 2757140 4411424 5514280 8822848 11028560 22057120 44114240