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678085452 = 2233112192731
BaseRepresentation
bin101000011010101…
…100001101001100
31202020221022101000
4220122230031030
52342042213302
6151141420300
722542426342
oct5032541514
91666838330
10678085452
11318841700
1216b10a690
13aa6386c5
14660b1992
153e7e431c
hex286ac34c

678085452 has 144 divisors (see below), whose sum is σ = 2034793600. Its totient is φ = 194594400.

The previous prime is 678085423. The next prime is 678085469. The reversal of 678085452 is 254580876.

It is a junction number, because it is equal to n+sod(n) for n = 678085398 and 678085407.

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 47 ways as a sum of consecutive naturals, for example, 246927 + ... + 249657.

Almost surely, 2678085452 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 678085452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017396800).

678085452 is an abundant number, since it is smaller than the sum of its proper divisors (1356708148).

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

678085452 is a wasteful number, since it uses less digits than its factorization.

678085452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 678085452 is about 26040.0739630286. The cubic root of 678085452 is about 878.5398703035.

The spelling of 678085452 in words is "six hundred seventy-eight million, eighty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 121 132 171 198 209 228 242 297 342 363 396 418 484 513 594 627 684 726 836 1026 1089 1188 1254 1452 1881 2052 2178 2299 2508 2731 3267 3762 4356 4598 5462 5643 6534 6897 7524 8193 9196 10924 11286 13068 13794 16386 20691 22572 24579 27588 30041 32772 41382 49158 51889 60082 62073 73737 82764 90123 98316 103778 120164 124146 147474 155667 180246 207556 248292 270369 294948 311334 330451 360492 467001 540738 570779 622668 660902 811107 934002 991353 1081476 1141558 1321804 1401003 1622214 1712337 1868004 1982706 2283116 2802006 2974059 3244428 3424674 3965412 5137011 5604012 5948118 6278569 6849348 8922177 10274022 11896236 12557138 15411033 17844354 18835707 20548044 25114276 30822066 35688708 37671414 56507121 61644132 75342828 113014242 169521363 226028484 339042726 678085452