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55776996 = 223211831697
BaseRepresentation
bin1101010011000…
…1011011100100
310212221202122200
43110301123210
5103234330441
65311254500
71245045102
oct324613344
9125852580
1055776996
11295370a0
121681a430
13b72ba52
14759cc72
154d6b7b6
hex35316e4

55776996 has 72 divisors (see below), whose sum is σ = 155754144. Its totient is φ = 16688640.

The previous prime is 55776979. The next prime is 55777009. The reversal of 55776996 is 69967755.

55776996 is a `hidden beast` number, since 5 + 577 + 69 + 9 + 6 = 666.

55776996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×557769962 = 6222146565568032, which contains 22 as substring.

It is an unprimeable number.

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, 32020 + ... + 33716.

It is an arithmetic number, because the mean of its divisors is an integer number (2163252).

Almost surely, 255776996 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 55776996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77877072).

55776996 is an abundant number, since it is smaller than the sum of its proper divisors (99977148).

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

55776996 is a wasteful number, since it uses less digits than its factorization.

55776996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1796 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 54.

The square root of 55776996 is about 7468.3998286112. The cubic root of 55776996 is about 382.0777141486.

The spelling of 55776996 in words is "fifty-five million, seven hundred seventy-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1697 1826 2739 2988 3394 3652 5091 5478 6788 8217 10182 10956 15273 16434 18667 20364 30546 32868 37334 56001 61092 74668 112002 140851 168003 224004 281702 336006 422553 563404 672012 845106 1267659 1549361 1690212 2535318 3098722 4648083 5070636 6197444 9296166 13944249 18592332 27888498 55776996