Search a number
-
+
1441647872 = 28717371279
BaseRepresentation
bin101010111101101…
…1100110100000000
310201110201022002122
41111323130310000
510423030212442
6355015303412
750503543010
oct12573346400
93643638078
101441647872
1167a855425
1234297ab68
1319c8a13a2
14d9673c40
158686edd2
hex55edcd00

1441647872 has 144 divisors (see below), whose sum is σ = 3579125760. Its totient is φ = 565346304.

The previous prime is 1441647869. The next prime is 1441647929. The reversal of 1441647872 is 2787461441.

It is a congruent number.

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, 1126529 + ... + 1127807.

It is an arithmetic number, because the mean of its divisors is an integer number (24855040).

Almost surely, 21441647872 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 1441647872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789562880).

1441647872 is an abundant number, since it is smaller than the sum of its proper divisors (2137477888).

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

1441647872 is a wasteful number, since it uses less digits than its factorization.

1441647872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1342 counting only the distinct ones).

The product of its digits is 301056, while the sum is 44.

The square root of 1441647872 is about 37969.0383338846. The cubic root of 1441647872 is about 1129.6738223735.

The spelling of 1441647872 in words is "one billion, four hundred forty-one million, six hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 64 68 74 112 119 128 136 148 224 238 256 259 272 296 448 476 518 544 592 629 896 952 1036 1088 1184 1258 1279 1792 1904 2072 2176 2368 2516 2558 3808 4144 4352 4403 4736 5032 5116 7616 8288 8806 8953 9472 10064 10232 15232 16576 17612 17906 20128 20464 21743 30464 33152 35224 35812 40256 40928 43486 47323 66304 70448 71624 80512 81856 86972 94646 140896 143248 152201 161024 163712 173944 189292 281792 286496 304402 327424 331261 347888 378584 563584 572992 608804 662522 695776 757168 804491 1127168 1145984 1217608 1325044 1391552 1514336 1608982 2291968 2435216 2650088 2783104 3028672 3217964 4870432 5300176 5566208 5631437 6057344 6435928 9740864 10600352 11262874 12114688 12871856 19481728 21200704 22525748 25743712 38963456 42401408 45051496 51487424 84802816 90102992 102974848 180205984 205949696 360411968 720823936 1441647872