Search a number
-
+
2783326040 = 2351129331659
BaseRepresentation
bin1010010111100110…
…0010111101011000
321011222022121112122
42211321202331120
521200012413130
61140104200412
7125654611115
oct24571427530
97158277478
102783326040
1111a912a060
12658169108
1335483c9b1
141c592390c
151145442e5
hexa5e62f58

2783326040 has 128 divisors (see below), whose sum is σ = 7099488000. Its totient is φ = 972787200.

The previous prime is 2783326033. The next prime is 2783326097. The reversal of 2783326040 is 406233872.

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 31 ways as a sum of consecutive naturals, for example, 4223231 + ... + 4223889.

It is an arithmetic number, because the mean of its divisors is an integer number (55464750).

Almost surely, 22783326040 is an apocalyptic number.

2783326040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2783326040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549744000).

2783326040 is an abundant number, since it is smaller than the sum of its proper divisors (4316161960).

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

2783326040 is a wasteful number, since it uses less digits than its factorization.

2783326040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 2783326040 is about 52757.2368495546. The cubic root of 2783326040 is about 1406.6564035199.

It can be divided in two parts, 2783 and 326040, that added together give a palindrome (328823).

The spelling of 2783326040 in words is "two billion, seven hundred eighty-three million, three hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 331 440 580 638 659 662 1160 1276 1318 1324 1595 1655 2552 2636 2648 3190 3295 3310 3641 5272 6380 6590 6620 7249 7282 9599 12760 13180 13240 14498 14564 18205 19111 19198 26360 28996 29128 36245 36410 38222 38396 47995 57992 72490 72820 76444 76792 95555 95990 105589 144980 145640 152888 191110 191980 210221 211178 218129 289960 382220 383960 420442 422356 436258 527945 764440 840884 844712 872516 1051105 1055890 1090645 1681768 1745032 2102210 2111780 2181290 2399419 4204420 4223560 4362580 4798838 6325741 8408840 8725160 9597676 11997095 12651482 19195352 23994190 25302964 31628705 47988380 50605928 63257410 69583151 95976760 126514820 139166302 253029640 278332604 347915755 556665208 695831510 1391663020 2783326040