Search a number
-
+
2770774008 = 233378393719
BaseRepresentation
bin1010010100100110…
…1010011111111000
321011002200220101120
42211021222133320
521133304232013
61134535145240
7125443122222
oct24511523770
97132626346
102770774008
1111a2036582
12653b15220
13352066662
141c3db7412
151133b5123
hexa526a7f8

2770774008 has 64 divisors (see below), whose sum is σ = 7124544000. Its totient is φ = 897316992.

The previous prime is 2770774007. The next prime is 2770774021. The reversal of 2770774008 is 8004770772.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2770774001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 743173 + ... + 746891.

It is an arithmetic number, because the mean of its divisors is an integer number (111321000).

Almost surely, 22770774008 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 2770774008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272000).

2770774008 is an abundant number, since it is smaller than the sum of its proper divisors (4353769992).

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

2770774008 is a wasteful number, since it uses less digits than its factorization.

2770774008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

The square root of 2770774008 is about 52638.1421404669. The cubic root of 2770774008 is about 1404.5386728554.

The spelling of 2770774008 in words is "two billion, seven hundred seventy million, seven hundred seventy-four thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 839 888 1678 2517 3356 3719 5034 6712 7438 10068 11157 14876 20136 22314 29752 31043 44628 62086 89256 93129 124172 137603 186258 248344 275206 372516 412809 550412 745032 825618 1100824 1651236 3120241 3302472 6240482 9360723 12480964 18721446 24961928 37442892 74885784 115448917 230897834 346346751 461795668 692693502 923591336 1385387004 2770774008