Search a number
-
+
1144273728 = 263133591277
BaseRepresentation
bin100010000110100…
…0011101101000000
32221202011010110110
41010031003231000
54320413224403
6305313431320
740233111003
oct10415035500
92852133413
101144273728
11537a04874
1227b26b540
131530b2860
14abd8553a
156a6ce103
hex44343b40

1144273728 has 112 divisors (see below), whose sum is σ = 3272088960. Its totient is φ = 350828544.

The previous prime is 1144273721. The next prime is 1144273747. The reversal of 1144273728 is 8273724411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144273721) 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 15 ways as a sum of consecutive naturals, for example, 895426 + ... + 896702.

It is an arithmetic number, because the mean of its divisors is an integer number (29215080).

Almost surely, 21144273728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636044480).

1144273728 is an abundant number, since it is smaller than the sum of its proper divisors (2127815232).

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

1144273728 is a wasteful number, since it uses less digits than its factorization.

1144273728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 1144273728 is about 33827.1152775403. The cubic root of 1144273728 is about 1045.9477153007.

The spelling of 1144273728 in words is "one billion, one hundred forty-four million, two hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 359 416 624 718 832 1077 1248 1277 1436 2154 2496 2554 2872 3831 4308 4667 5108 5744 7662 8616 9334 10216 11488 14001 15324 16601 17232 18668 20432 22976 28002 30648 33202 34464 37336 40864 49803 56004 61296 66404 68928 74672 81728 99606 112008 122592 132808 149344 199212 224016 245184 265616 298688 398424 448032 458443 531232 796848 896064 916886 1062464 1375329 1593696 1833772 2750658 3187392 3667544 5501316 5959759 7335088 11002632 11919518 14670176 17879277 22005264 23839036 29340352 35758554 44010528 47678072 71517108 88021056 95356144 143034216 190712288 286068432 381424576 572136864 1144273728