Search a number
-
+
55807744 = 28277787
BaseRepresentation
bin1101010011100…
…0111100000000
310220000022211111
43110320330000
5103241321434
65312053104
71245233536
oct324707400
9126008744
1055807744
1129558203
1216834194
13b73ca45
1475aa156
154d75964
hex3538f00

55807744 has 36 divisors (see below), whose sum is σ = 111941704. Its totient is φ = 27767808.

The previous prime is 55807711. The next prime is 55807747. The reversal of 55807744 is 44770855.

It is a super-2 number, since 2×558077442 = 6229008580739072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55807697 and 55807706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55807747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70519 + ... + 71305.

Almost surely, 255807744 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 55807744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55970852).

55807744 is an abundant number, since it is smaller than the sum of its proper divisors (56133960).

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

55807744 is an equidigital number, since it uses as much as digits as its factorization.

55807744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The square root of 55807744 is about 7470.4580850173. The cubic root of 55807744 is about 382.1479101570.

The spelling of 55807744 in words is "fifty-five million, eight hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 277 554 787 1108 1574 2216 3148 4432 6296 8864 12592 17728 25184 35456 50368 70912 100736 201472 217999 435998 871996 1743992 3487984 6975968 13951936 27903872 55807744