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2856770406 = 2327173134261
BaseRepresentation
bin1010101001000110…
…1101101101100110
321101002111222021100
42222101231231212
521322313123111
61151250300530
7130536101460
oct25221555546
97332458240
102856770406
111236632986
12678887746
13366b161b9
141d15a1130
1511ac00756
hexaa46db66

2856770406 has 96 divisors (see below), whose sum is σ = 7515713088. Its totient is φ = 765573120.

The previous prime is 2856770381. The next prime is 2856770419. The reversal of 2856770406 is 6040776582.

It is a super-2 number, since 2×28567704062 = 16322274305194809672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668316 + ... + 672576.

It is an arithmetic number, because the mean of its divisors is an integer number (78288678).

Almost surely, 22856770406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2856770406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757856544).

2856770406 is an abundant number, since it is smaller than the sum of its proper divisors (4658942682).

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

2856770406 is a wasteful number, since it uses less digits than its factorization.

2856770406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2856770406 is about 53448.7643075123. The cubic root of 2856770406 is about 1418.9217507251.

The spelling of 2856770406 in words is "two billion, eight hundred fifty-six million, seven hundred seventy thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 313 357 626 714 939 1071 1878 2142 2191 2817 4261 4382 5321 5634 6573 8522 10642 12783 13146 15963 19719 25566 29827 31926 37247 38349 39438 47889 59654 72437 74494 76698 89481 95778 111741 144874 178962 217311 223482 268443 335223 434622 507059 536886 651933 670446 1014118 1303866 1333693 1521177 2667386 3042354 4001079 4563531 8002158 9127062 9335851 12003237 18671702 22672781 24006474 28007553 45345562 56015106 68018343 84022659 136036686 158709467 168045318 204055029 317418934 408110058 476128401 952256802 1428385203 2856770406