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2555040312 = 2332115954679
BaseRepresentation
bin1001100001001010…
…1101001000111000
320121001202111101200
42120102231020320
520213042242222
61101311214200
7120213325056
oct23022551070
96531674350
102555040312
1110a1287670
125b3817360
13319460a96
141a349b1d6
15ee49deac
hex984ad238

2555040312 has 96 divisors (see below), whose sum is σ = 7677072000. Its totient is φ = 761117760.

The previous prime is 2555040289. The next prime is 2555040317. The reversal of 2555040312 is 2130405552.

It is a happy number.

2555040312 is a `hidden beast` number, since 255 + 5 + 0 + 403 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555040317) 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 23 ways as a sum of consecutive naturals, for example, 19389 + ... + 74067.

It is an arithmetic number, because the mean of its divisors is an integer number (79969500).

Almost surely, 22555040312 is an apocalyptic number.

2555040312 is a gapful number since it is divisible by the number (22) 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 2555040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838536000).

2555040312 is an abundant number, since it is smaller than the sum of its proper divisors (5122031688).

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

2555040312 is a wasteful number, since it uses less digits than its factorization.

2555040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54761 (or 54754 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2555040312 is about 50547.4065803578. The cubic root of 2555040312 is about 1367.0967542143.

Adding to 2555040312 its reverse (2130405552), we get a palindrome (4685445864).

The spelling of 2555040312 in words is "two billion, five hundred fifty-five million, forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 59 66 72 88 99 118 132 177 198 236 264 354 396 472 531 649 708 792 1062 1298 1416 1947 2124 2596 3894 4248 5192 5841 7788 11682 15576 23364 46728 54679 109358 164037 218716 328074 437432 492111 601469 656148 984222 1202938 1312296 1804407 1968444 2405876 3226061 3608814 3936888 4811752 5413221 6452122 7217628 9678183 10826442 12904244 14435256 19356366 21652884 25808488 29034549 35486671 38712732 43305768 58069098 70973342 77425464 106460013 116138196 141946684 212920026 232276392 283893368 319380039 425840052 638760078 851680104 1277520156 2555040312