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44198840 = 2357433671
BaseRepresentation
bin1010100010011…
…0101110111000
310002011112102002
42220212232320
542303330330
64215200132
71044453410
oct250465670
9102145362
1044198840
1122a49274
1212976048
139206a7a
145c27640
153d30e45
hex2a26bb8

44198840 has 64 divisors (see below), whose sum is σ = 116328960. Its totient is φ = 14797440.

The previous prime is 44198837. The next prime is 44198857. The reversal of 44198840 is 4889144.

44198840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44198794 and 44198803.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10205 + ... + 13875.

It is an arithmetic number, because the mean of its divisors is an integer number (1817640).

Almost surely, 244198840 is an apocalyptic number.

44198840 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 44198840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58164480).

44198840 is an abundant number, since it is smaller than the sum of its proper divisors (72130120).

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

44198840 is a wasteful number, since it uses less digits than its factorization.

44198840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 44198840 is about 6648.2208146240. The cubic root of 44198840 is about 353.5658332909.

The spelling of 44198840 in words is "forty-four million, one hundred ninety-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 3671 6020 7342 12040 14684 18355 25697 29368 36710 51394 73420 102788 128485 146840 157853 205576 256970 315706 513940 631412 789265 1027880 1104971 1262824 1578530 2209942 3157060 4419884 5524855 6314120 8839768 11049710 22099420 44198840