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44098000 = 2453171297
BaseRepresentation
bin1010100000111…
…0000111010000
310001222102002021
42220032013100
542242114000
64213101224
71043553412
oct250160720
9101872067
1044098000
112298a531
1212927814
13919cbbb
145bdc9b2
153d1111a
hex2a0e1d0

44098000 has 80 divisors (see below), whose sum is σ = 112988304. Its totient is φ = 16588800.

The previous prime is 44097997. The next prime is 44098007. The reversal of 44098000 is 89044.

It can be written as a sum of positive squares in 8 ways, for example, as 379456 + 43718544 = 616^2 + 6612^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44098007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33352 + ... + 34648.

Almost surely, 244098000 is an apocalyptic number.

44098000 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 44098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56494152).

44098000 is an abundant number, since it is smaller than the sum of its proper divisors (68890304).

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

44098000 is a wasteful number, since it uses less digits than its factorization.

44098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 44098000 is about 6640.6324999958. The cubic root of 44098000 is about 353.2967408013.

The spelling of 44098000 in words is "forty-four million, ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1297 1360 1700 2000 2125 2594 3400 4250 5188 6485 6800 8500 10376 12970 17000 20752 22049 25940 32425 34000 44098 51880 64850 88196 103760 110245 129700 162125 176392 220490 259400 324250 352784 440980 518800 551225 648500 881960 1102450 1297000 1763920 2204900 2594000 2756125 4409800 5512250 8819600 11024500 22049000 44098000