Search a number
-
+
44144240 = 2457174637
BaseRepresentation
bin1010100001100…
…1011001110000
310002001202111212
42220121121300
542300103430
64214055252
71044135260
oct250313160
9102052455
1044144240
1122a11248
121294a528
1391b7c6a
145c117a0
153d1eb95
hex2a19670

44144240 has 80 divisors (see below), whose sum is σ = 124224192. Its totient is φ = 14241792.

The previous prime is 44144227. The next prime is 44144251. The reversal of 44144240 is 4244144.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7202 + ... + 11838.

Almost surely, 244144240 is an apocalyptic number.

44144240 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 44144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62112096).

44144240 is an abundant number, since it is smaller than the sum of its proper divisors (80079952).

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

44144240 is a wasteful number, since it uses less digits than its factorization.

44144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 44144240 is about 6644.1131838643. The cubic root of 44144240 is about 353.4201835472.

Adding to 44144240 its reverse (4244144), we get a palindrome (48388384).

The spelling of 44144240 in words is "forty-four million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4637 4760 9274 9520 18548 23185 32459 37096 46370 64918 74192 78829 92740 129836 157658 162295 185480 259672 315316 324590 370960 394145 519344 551803 630632 649180 788290 1103606 1261264 1298360 1576580 2207212 2596720 2759015 3153160 4414424 5518030 6306320 8828848 11036060 22072120 44144240