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44188368 = 2437347379
BaseRepresentation
bin1010100010010…
…0001011010000
310002011000001020
42220210023100
542303011433
64215035440
71044411030
oct250441320
9102130036
1044188368
1122a41414
121296bb80
139202083
145c238c0
153d2ccb3
hex2a242d0

44188368 has 80 divisors (see below), whose sum is σ = 131182080. Its totient is φ = 12555648.

The previous prime is 44188351. The next prime is 44188369. The reversal of 44188368 is 86388144.

It is a super-2 number, since 2×441883682 = 3905223733006848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44188369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116403 + ... + 116781.

It is an arithmetic number, because the mean of its divisors is an integer number (1639776).

Almost surely, 244188368 is an apocalyptic number.

44188368 is a gapful number since it is divisible by the number (48) 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 44188368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65591040).

44188368 is an abundant number, since it is smaller than the sum of its proper divisors (86993712).

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

44188368 is a wasteful number, since it uses less digits than its factorization.

44188368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 44188368 is about 6647.4331888331. The cubic root of 44188368 is about 353.5379077175.

The spelling of 44188368 in words is "forty-four million, one hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 347 379 694 758 1041 1137 1388 1516 2082 2274 2429 2653 2776 3032 4164 4548 4858 5306 5552 6064 7287 7959 8328 9096 9716 10612 14574 15918 16656 18192 19432 21224 29148 31836 38864 42448 58296 63672 116592 127344 131513 263026 394539 526052 789078 920591 1052104 1578156 1841182 2104208 2761773 3156312 3682364 5523546 6312624 7364728 11047092 14729456 22094184 44188368