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44090200 = 23527211409
BaseRepresentation
bin1010100000110…
…0001101011000
310001222000101101
42220030031120
542241341300
64213001144
71043521600
oct250141530
9101860341
1044090200
1122984690
12129231b4
13919949b
145bd9c00
153d0db6a
hex2a0c358

44090200 has 144 divisors (see below), whose sum is σ = 130404600. Its totient is φ = 13708800.

The previous prime is 44090191. The next prime is 44090201. The reversal of 44090200 is 209044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44090201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107596 + ... + 108004.

Almost surely, 244090200 is an apocalyptic number.

44090200 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 44090200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65202300).

44090200 is an abundant number, since it is smaller than the sum of its proper divisors (86314400).

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

44090200 is a wasteful number, since it uses less digits than its factorization.

44090200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 44090200 is about 6640.0451805692. The cubic root of 44090200 is about 353.2759093420.

Adding to 44090200 its reverse (209044), we get a palindrome (44299244).

The spelling of 44090200 in words is "forty-four million, ninety thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 409 440 490 539 550 616 700 770 818 980 1078 1100 1225 1400 1540 1636 1925 1960 2045 2156 2200 2450 2695 2863 3080 3272 3850 4090 4312 4499 4900 5390 5726 7700 8180 8998 9800 10225 10780 11452 13475 14315 15400 16360 17996 20041 20450 21560 22495 22904 26950 28630 31493 35992 40082 40900 44990 53900 57260 62986 71575 80164 81800 89980 100205 107800 112475 114520 125972 143150 157465 160328 179960 200410 220451 224950 251944 286300 314930 400820 440902 449900 501025 572600 629860 787325 801640 881804 899800 1002050 1102255 1259720 1574650 1763608 2004100 2204510 3149300 4008200 4409020 5511275 6298600 8818040 11022550 22045100 44090200