Search a number
-
+
80438016 = 2831761101
BaseRepresentation
bin1001100101101…
…10001100000000
312121100200012210
410302312030000
5131043004031
611552022120
71664466111
oct462661400
9177320183
1080438016
11414502aa
1222b31940
1313884879
14a97c208
1570dd746
hex4cb6300

80438016 has 144 divisors (see below), whose sum is σ = 232672608. Its totient is φ = 24576000.

The previous prime is 80438011. The next prime is 80438027. The reversal of 80438016 is 61083408.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80438011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796366 + ... + 796466.

It is an arithmetic number, because the mean of its divisors is an integer number (1615782).

Almost surely, 280438016 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 80438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116336304).

80438016 is an abundant number, since it is smaller than the sum of its proper divisors (152234592).

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

80438016 is a wasteful number, since it uses less digits than its factorization.

80438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 80438016 is about 8968.7243240051. The cubic root of 80438016 is about 431.6719045161.

Subtracting from 80438016 its product of nonzero digits (4608), we obtain a palindrome (80433408).

The spelling of 80438016 in words is "eighty million, four hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 64 68 96 101 102 122 128 136 183 192 202 204 244 256 272 303 366 384 404 408 488 544 606 732 768 808 816 976 1037 1088 1212 1464 1616 1632 1717 1952 2074 2176 2424 2928 3111 3232 3264 3434 3904 4148 4352 4848 5151 5856 6161 6222 6464 6528 6868 7808 8296 9696 10302 11712 12322 12444 12928 13056 13736 15616 16592 18483 19392 20604 23424 24644 24888 25856 27472 33184 36966 38784 41208 46848 49288 49776 54944 66368 73932 77568 82416 98576 99552 104737 109888 132736 147864 164832 197152 199104 209474 219776 265472 295728 314211 329664 394304 398208 418948 439552 591456 628422 659328 788608 796416 837896 1182912 1256844 1318656 1577216 1675792 2365824 2513688 3351584 4731648 5027376 6703168 10054752 13406336 20109504 26812672 40219008 80438016