Search a number
-
+
244420848 = 24337131617
BaseRepresentation
bin11101001000110…
…01000011110000
3122000220212101000
432210121003300
51000032431343
640130442000
76025354140
oct1644310360
9560825330
10244420848
11115a73001
1269a33300
133b83b129
1424666920
15166d0ed3
hexe9190f0

244420848 has 160 divisors (see below), whose sum is σ = 809233920. Its totient is φ = 69189120.

The previous prime is 244420843. The next prime is 244420859. The reversal of 244420848 is 848024442.

244420848 is a `hidden beast` number, since 2 + 444 + 208 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244420843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395836 + ... + 396452.

It is an arithmetic number, because the mean of its divisors is an integer number (5057712).

Almost surely, 2244420848 is an apocalyptic number.

244420848 is a gapful number since it is divisible by the number (28) 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 244420848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404616960).

244420848 is an abundant number, since it is smaller than the sum of its proper divisors (564813072).

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

244420848 is a wasteful number, since it uses less digits than its factorization.

244420848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 244420848 is about 15633.9645643707. The cubic root of 244420848 is about 625.2390321968.

The spelling of 244420848 in words is "two hundred forty-four million, four hundred twenty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 131 144 168 189 216 252 262 336 378 393 432 504 524 617 756 786 917 1008 1048 1179 1234 1512 1572 1834 1851 2096 2358 2468 2751 3024 3144 3537 3668 3702 4319 4716 4936 5502 5553 6288 7074 7336 7404 8253 8638 9432 9872 11004 11106 12957 14148 14672 14808 16506 16659 17276 18864 22008 22212 24759 25914 28296 29616 33012 33318 34552 38871 44016 44424 49518 51828 56592 66024 66636 69104 77742 80827 88848 99036 103656 116613 132048 133272 155484 161654 198072 207312 233226 242481 266544 310968 323308 396144 466452 484962 565789 621936 646616 727443 932904 969924 1131578 1293232 1454886 1697367 1865808 1939848 2182329 2263156 2909772 3394734 3879696 4364658 4526312 5092101 5819544 6789468 8729316 9052624 10184202 11639088 13578936 15276303 17458632 20368404 27157872 30552606 34917264 40736808 61105212 81473616 122210424 244420848