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44398900 = 225272131741
BaseRepresentation
bin1010100101011…
…1100100110100
310002112200211201
42221113210310
542331231100
64223342244
71046245600
oct251274464
9102480751
1044398900
1123075607
1212a51984
139276b50
145c7a500
153d7036a
hex2a57934

44398900 has 216 divisors, whose sum is σ = 130913496. Its totient is φ = 12902400.

The previous prime is 44398897. The next prime is 44398903. The reversal of 44398900 is 989344.

44398900 = 253 + 263 + ... + 1153.

44398900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44398897) and next prime (44398903).

It can be written as a sum of positive squares in 12 ways, for example, as 25684624 + 18714276 = 5068^2 + 4326^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44398900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44398903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1082880 + ... + 1082920.

It is an arithmetic number, because the mean of its divisors is an integer number (606081).

Almost surely, 244398900 is an apocalyptic number.

44398900 is the 3332-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44398900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65456748).

44398900 is an abundant number, since it is smaller than the sum of its proper divisors (86514596).

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

44398900 is a wasteful number, since it uses less digits than its factorization.

44398900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 44398900 is about 6663.2499577909. The cubic root of 44398900 is about 354.0984862219.

The spelling of 44398900 in words is "forty-four million, three hundred ninety-eight thousand, nine hundred".