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678782052 = 2233131728439
BaseRepresentation
bin101000011101010…
…110010001100100
31202022020200221000
4220131112101210
52342232011202
6151204353300
722551360264
oct5035262144
91668220830
10678782052
11319178003
1216b3a5830
13aa8207b0
14662137a4
153e8d091c
hex28756464

678782052 has 96 divisors (see below), whose sum is σ = 2006726400. Its totient is φ = 196563456.

The previous prime is 678782029. The next prime is 678782053. The reversal of 678782052 is 250287876.

It is a junction number, because it is equal to n+sod(n) for n = 678781989 and 678782007.

It is not an unprimeable number, because it can be changed into a prime (678782053) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9649 + ... + 38087.

It is an arithmetic number, because the mean of its divisors is an integer number (20903400).

Almost surely, 2678782052 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 678782052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003363200).

678782052 is an abundant number, since it is smaller than the sum of its proper divisors (1327944348).

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

678782052 is a wasteful number, since it uses less digits than its factorization.

678782052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28482 (or 28474 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 678782052 is about 26053.4460676510. The cubic root of 678782052 is about 878.8406098954.

The spelling of 678782052 in words is "six hundred seventy-eight million, seven hundred eighty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5967 7956 11934 23868 28439 56878 85317 113756 170634 255951 341268 369707 483463 511902 739414 767853 966926 1023804 1109121 1450389 1478828 1535706 1933852 2218242 2900778 3071412 3327363 4351167 4436484 5801556 6285019 6654726 8702334 9982089 12570038 13053501 13309452 17404668 18855057 19964178 25140076 26107002 37710114 39928356 52214004 56565171 75420228 113130342 169695513 226260684 339391026 678782052