Search a number
-
+
44248000 = 26535531
BaseRepresentation
bin1010100011001…
…0101111000000
310002021000211211
42220302233000
542311414000
64220215504
71045046626
oct250625700
9102230754
1044248000
1122a821a5
121299a594
139223264
145c3b516
153d407ba
hex2a32bc0

44248000 has 56 divisors (see below), whose sum is σ = 109599984. Its totient is φ = 17696000.

The previous prime is 44247971. The next prime is 44248003. The reversal of 44248000 is 84244.

44248000 = 1392 + 1402 + ... + 5132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44248003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5235 + ... + 10765.

Almost surely, 244248000 is an apocalyptic number.

44248000 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 44248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54799992).

44248000 is an abundant number, since it is smaller than the sum of its proper divisors (65351984).

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

44248000 is an equidigital number, since it uses as much as digits as its factorization.

44248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 44248000 is about 6651.9170169208. The cubic root of 44248000 is about 353.6968688283.

The spelling of 44248000 in words is "forty-four million, two hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 5531 8000 11062 22124 27655 44248 55310 88496 110620 138275 176992 221240 276550 353984 442480 553100 691375 884960 1106200 1382750 1769920 2212400 2765500 4424800 5531000 8849600 11062000 22124000 44248000