[go: up one dir, main page]

Search a number
-
+
68922048 = 2631353521
BaseRepresentation
bin1000001101110…
…10101011000000
311210200121021110
410012322223000
5120121001143
610501123320
71464553626
oct406725300
9153617243
1068922048
11359a5178
121b0b9540
1311381ca0
149221516
1560b6533
hex41baac0

68922048 has 112 divisors (see below), whose sum is σ = 200473056. Its totient is φ = 20766720.

The previous prime is 68922047. The next prime is 68922059. The reversal of 68922048 is 84022986.

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

It is a junction number, because it is equal to n+sod(n) for n = 68921997 and 68922015.

It is not an unprimeable number, because it can be changed into a prime (68922041) 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, 132028 + ... + 132548.

It is an arithmetic number, because the mean of its divisors is an integer number (1789938).

Almost surely, 268922048 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 68922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100236528).

68922048 is an abundant number, since it is smaller than the sum of its proper divisors (131551008).

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

68922048 is a wasteful number, since it uses less digits than its factorization.

68922048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68922048 is about 8301.9303779302. The cubic root of 68922048 is about 410.0020781176.

The spelling of 68922048 in words is "sixty-eight million, nine hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 156 159 192 208 212 312 318 416 424 521 624 636 689 832 848 1042 1248 1272 1378 1563 1696 2067 2084 2496 2544 2756 3126 3392 4134 4168 5088 5512 6252 6773 8268 8336 10176 11024 12504 13546 16536 16672 20319 22048 25008 27092 27613 33072 33344 40638 44096 50016 54184 55226 66144 81276 82839 100032 108368 110452 132288 162552 165678 216736 220904 325104 331356 358969 433472 441808 650208 662712 717938 883616 1076907 1300416 1325424 1435876 1767232 2153814 2650848 2871752 4307628 5301696 5743504 8615256 11487008 17230512 22974016 34461024 68922048