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44426880 = 27345857
BaseRepresentation
bin1010100101111…
…0011010000000
310002121010020000
42221132122000
542333130010
64224120000
71046423301
oct251363200
9102533200
1044426880
1123094633
1212a66000
1392867c4
145c867a8
153d787c0
hex2a5e680

44426880 has 160 divisors (see below), whose sum is σ = 158841540. Its totient is φ = 11833344.

The previous prime is 44426861. The next prime is 44426897. The reversal of 44426880 is 8862444.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 1498176 = 6552^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

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, 51412 + ... + 52268.

Almost surely, 244426880 is an apocalyptic number.

44426880 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 44426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79420770).

44426880 is an abundant number, since it is smaller than the sum of its proper divisors (114414660).

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

44426880 is an equidigital number, since it uses as much as digits as its factorization.

44426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 44426880 is about 6665.3492031551. The cubic root of 44426880 is about 354.1728543940.

The spelling of 44426880 in words is "forty-four million, four hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 857 864 960 1080 1152 1296 1440 1620 1714 1728 1920 2160 2571 2592 2880 3240 3428 3456 4285 4320 5142 5184 5760 6480 6856 7713 8570 8640 10284 10368 12855 12960 13712 15426 17140 17280 20568 23139 25710 25920 27424 30852 34280 38565 41136 46278 51420 51840 54848 61704 68560 69417 77130 82272 92556 102840 109696 115695 123408 137120 138834 154260 164544 185112 205680 231390 246816 274240 277668 308520 329088 347085 370224 411360 462780 493632 548480 555336 617040 694170 740448 822720 925560 987264 1110672 1234080 1388340 1480896 1645440 1851120 2221344 2468160 2776680 2961792 3702240 4442688 4936320 5553360 7404480 8885376 11106720 14808960 22213440 44426880