Search a number
-
+
678028992 = 26383157271
BaseRepresentation
bin101000011010011…
…110011011000000
31202020211102220220
4220122132123000
52342033411432
6151140303040
722542102624
oct5032363300
91666742826
10678028992
11318803243
1216b0a1a80
13aa618ab4
1466099184
153e7d272c
hex2869e6c0

678028992 has 112 divisors (see below), whose sum is σ = 1833871872. Its totient is φ = 221045760.

The previous prime is 678028987. The next prime is 678029057. The reversal of 678028992 is 299820876.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2501817 + ... + 2502087.

It is an arithmetic number, because the mean of its divisors is an integer number (16373856).

Almost surely, 2678028992 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 678028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916935936).

678028992 is an abundant number, since it is smaller than the sum of its proper divisors (1155842880).

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

678028992 is a wasteful number, since it uses less digits than its factorization.

678028992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 678028992 is about 26038.9898421579. The cubic root of 678028992 is about 878.5154860917.

The spelling of 678028992 in words is "six hundred seventy-eight million, twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 157 166 192 249 271 314 332 471 498 542 628 664 813 942 996 1084 1256 1328 1626 1884 1992 2168 2512 2656 3252 3768 3984 4336 5024 5312 6504 7536 7968 8672 10048 13008 13031 15072 15936 17344 22493 26016 26062 30144 39093 42547 44986 52032 52124 67479 78186 85094 89972 104248 127641 134958 156372 170188 179944 208496 255282 269916 312744 340376 359888 416992 510564 539832 625488 680752 719776 833984 1021128 1079664 1250976 1361504 1439552 2042256 2159328 2501952 2723008 3531401 4084512 4318656 7062802 8169024 10594203 14125604 21188406 28251208 42376812 56502416 84753624 113004832 169507248 226009664 339014496 678028992