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44441136 = 243453647
BaseRepresentation
bin1010100110000…
…1111000110000
310002121211210000
42221201320300
542334104021
64224310000
71046512665
oct251417060
9102554700
1044441136
11230a4313
1212a72300
13929013c
145c8ba6c
153d7cb26
hex2a61e30

44441136 has 100 divisors (see below), whose sum is σ = 131254992. Its totient is φ = 14511744.

The previous prime is 44441113. The next prime is 44441143. The reversal of 44441136 is 63114444.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68365 + ... + 69011.

Almost surely, 244441136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44441136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65627496).

44441136 is an abundant number, since it is smaller than the sum of its proper divisors (86813856).

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

44441136 is a wasteful number, since it uses less digits than its factorization.

44441136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 705 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 44441136 is about 6666.4185287154. The cubic root of 44441136 is about 354.2107334757.

The spelling of 44441136 in words is "forty-four million, four hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 647 648 848 954 1272 1294 1296 1431 1908 1941 2544 2588 2862 3816 3882 4293 5176 5724 5823 7632 7764 8586 10352 11448 11646 15528 17172 17469 22896 23292 31056 34291 34344 34938 46584 52407 68582 68688 69876 93168 102873 104814 137164 139752 205746 209628 274328 279504 308619 411492 419256 548656 617238 822984 838512 925857 1234476 1645968 1851714 2468952 2777571 3703428 4937904 5555142 7406856 11110284 14813712 22220568 44441136