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44130492 = 22327374733
BaseRepresentation
bin1010100001011…
…0000010111100
310002001001122200
42220112002330
542244133432
64213511500
71044050220
oct250260274
9102031580
1044130492
1122a0198a
1212942590
1391b1923
145c0a780
153d1aa7c
hex2a160bc

44130492 has 72 divisors (see below), whose sum is σ = 130961376. Its totient is φ = 12265344.

The previous prime is 44130469. The next prime is 44130497. The reversal of 44130492 is 29403144.

44130492 is a `hidden beast` number, since 44 + 130 + 492 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44130497) 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 23 ways as a sum of consecutive naturals, for example, 6958 + ... + 11690.

It is an arithmetic number, because the mean of its divisors is an integer number (1818908).

Almost surely, 244130492 is an apocalyptic number.

44130492 is a gapful number since it is divisible by the number (42) 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 44130492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65480688).

44130492 is an abundant number, since it is smaller than the sum of its proper divisors (86830884).

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

44130492 is a wasteful number, since it uses less digits than its factorization.

44130492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 44130492 is about 6643.0785032242. The cubic root of 44130492 is about 353.3834907634.

The spelling of 44130492 in words is "forty-four million, one hundred thirty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 4733 9324 9466 14199 18932 28398 33131 42597 56796 66262 85194 99393 132524 170388 175121 198786 298179 350242 397572 525363 596358 700484 1050726 1192716 1225847 1576089 2101452 2451694 3152178 3677541 4903388 6304356 7355082 11032623 14710164 22065246 44130492