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44325000 = 233255197
BaseRepresentation
bin1010100100010…
…1100010001000
310002101221110200
42221011202020
542321400000
64222012200
71045520256
oct251054210
9102357420
1044325000
1123025035
1212a17060
13924c315
145c5b5d6
153d58500
hex2a45888

44325000 has 144 divisors (see below), whose sum is σ = 150810660. Its totient is φ = 11760000.

The previous prime is 44324953. The next prime is 44325007. The reversal of 44325000 is 52344.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 49284 + 44275716 = 222^2 + 6654^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (44325007) 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, 224902 + ... + 225098.

Almost surely, 244325000 is an apocalyptic number.

44325000 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 44325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75405330).

44325000 is an abundant number, since it is smaller than the sum of its proper divisors (106485660).

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

44325000 is a wasteful number, since it uses less digits than its factorization.

44325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 44325000 is about 6657.7023063516. The cubic root of 44325000 is about 353.9019167123.

Adding to 44325000 its reverse (52344), we get a palindrome (44377344).

The spelling of 44325000 in words is "forty-four million, three hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 197 200 225 250 300 360 375 394 450 500 591 600 625 750 788 900 985 1000 1125 1182 1250 1500 1576 1773 1800 1875 1970 2250 2364 2500 2955 3000 3125 3546 3750 3940 4500 4728 4925 5000 5625 5910 6250 7092 7500 7880 8865 9000 9375 9850 11250 11820 12500 14184 14775 15000 17730 18750 19700 22500 23640 24625 25000 28125 29550 35460 37500 39400 44325 45000 49250 56250 59100 70920 73875 75000 88650 98500 112500 118200 123125 147750 177300 197000 221625 225000 246250 295500 354600 369375 443250 492500 591000 615625 738750 886500 985000 1108125 1231250 1477500 1773000 1846875 2216250 2462500 2955000 3693750 4432500 4925000 5540625 7387500 8865000 11081250 14775000 22162500 44325000