Search a number
-
+
44422440 = 2335438609
BaseRepresentation
bin1010100101110…
…1010100101000
310002120220010120
42221131110220
542333004230
64224043240
71046404326
oct251352450
9102526116
1044422440
1123091267
1212a63520
13928478a
145c84d16
153d77310
hex2a5d528

44422440 has 64 divisors (see below), whose sum is σ = 136382400. Its totient is φ = 11569152.

The previous prime is 44422423. The next prime is 44422451. The reversal of 44422440 is 4422444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44422440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856 + ... + 9464.

It is an arithmetic number, because the mean of its divisors is an integer number (2130975).

Almost surely, 244422440 is an apocalyptic number.

44422440 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 44422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68191200).

44422440 is an abundant number, since it is smaller than the sum of its proper divisors (91959960).

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

44422440 is a wasteful number, since it uses less digits than its factorization.

44422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8666 (or 8662 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 44422440 is about 6665.0161290127. The cubic root of 44422440 is about 354.1610553821.

Adding to 44422440 its reverse (4422444), we get a palindrome (48844884).

The spelling of 44422440 in words is "forty-four million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 8609 17218 25827 34436 43045 51654 68872 86090 103308 129135 172180 206616 258270 344360 370187 516540 740374 1033080 1110561 1480748 1850935 2221122 2961496 3701870 4442244 5552805 7403740 8884488 11105610 14807480 22211220 44422440