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44021328 = 24313194779
BaseRepresentation
bin1010011111101…
…1011001010000
310001211111220120
42213323121100
542232140303
64211310240
71043114031
oct247733120
9101744816
1044021328
112293796a
12128ab380
139174030
145bbca88
153ce8553
hex29fb650

44021328 has 160 divisors (see below), whose sum is σ = 133324800. Its totient is φ = 12400128.

The previous prime is 44021317. The next prime is 44021401. The reversal of 44021328 is 82312044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 44021298 and 44021307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557193 + ... + 557271.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 244021328 is an apocalyptic number.

44021328 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 44021328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66662400).

44021328 is an abundant number, since it is smaller than the sum of its proper divisors (89303472).

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

44021328 is a wasteful number, since it uses less digits than its factorization.

44021328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 44021328 is about 6634.8570444283. The cubic root of 44021328 is about 353.0918661892.

The spelling of 44021328 in words is "forty-four million, twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 47 48 52 57 76 78 79 94 104 114 141 152 156 158 188 208 228 237 247 282 304 312 316 376 456 474 494 564 611 624 632 741 752 893 912 948 988 1027 1128 1222 1264 1482 1501 1786 1833 1896 1976 2054 2256 2444 2679 2964 3002 3081 3572 3666 3713 3792 3952 4108 4503 4888 5358 5928 6004 6162 7144 7332 7426 8216 9006 9776 10716 11139 11609 11856 12008 12324 14288 14664 14852 16432 18012 19513 21432 22278 23218 24016 24648 29328 29704 34827 36024 39026 42864 44556 46436 48269 49296 58539 59408 69654 70547 72048 78052 89112 92872 96538 117078 139308 141094 144807 156104 178224 185744 193076 211641 234156 278616 282188 289614 312208 386152 423282 468312 557232 564376 579228 772304 846564 917111 936624 1128752 1158456 1693128 1834222 2316912 2751333 3386256 3668444 5502666 7336888 11005332 14673776 22010664 44021328