Search a number
-
+
2766904256 = 26315772417
BaseRepresentation
bin1010010011101011…
…1001101111000000
321010211102022002102
42210322321233000
521131311414011
61134320205532
7125365204154
oct24472715700
97124368072
102766904256
11119a933136
126527698a8
1335131016c
141c368b064
15112d9d73b
hexa4eb9bc0

2766904256 has 56 divisors (see below), whose sum is σ = 5679862656. Its totient is φ = 1335951360.

The previous prime is 2766904247. The next prime is 2766904271. The reversal of 2766904256 is 6524096672.

2766904256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2766904256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143560 + ... + 1145976.

Almost surely, 22766904256 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 2766904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839931328).

2766904256 is an abundant number, since it is smaller than the sum of its proper divisors (2912958400).

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

2766904256 is a wasteful number, since it uses less digits than its factorization.

2766904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The square root of 2766904256 is about 52601.3712368794. The cubic root of 2766904256 is about 1403.8844935996.

The spelling of 2766904256 in words is "two billion, seven hundred sixty-six million, nine hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 577 992 1154 1984 2308 2417 4616 4834 9232 9668 17887 18464 19336 35774 36928 38672 71548 74927 77344 143096 149854 154688 286192 299708 572384 599416 1144768 1198832 1394609 2397664 2789218 4795328 5578436 11156872 22313744 43232879 44627488 86465758 89254976 172931516 345863032 691726064 1383452128 2766904256