Search a number
-
+
55577344 = 28613559
BaseRepresentation
bin1101010000000…
…0101100000000
310212120121210011
43110000230000
5103211433334
65303114304
71243254034
oct324005400
9125517704
1055577344
1129410099
1216742994
13b68bc04
14754a1c4
154d2c564
hex3500b00

55577344 has 36 divisors (see below), whose sum is σ = 112787920. Its totient is φ = 27325440.

The previous prime is 55577341. The next prime is 55577363. The reversal of 55577344 is 44377555.

It is a junction number, because it is equal to n+sod(n) for n = 55577297 and 55577306.

It is not an unprimeable number, because it can be changed into a prime (55577341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13837 + ... + 17395.

Almost surely, 255577344 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 55577344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56393960).

55577344 is an abundant number, since it is smaller than the sum of its proper divisors (57210576).

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

55577344 is an equidigital number, since it uses as much as digits as its factorization.

55577344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3622 counting only the distinct ones).

The product of its digits is 294000, while the sum is 40.

The square root of 55577344 is about 7455.0213950062. The cubic root of 55577344 is about 381.6212907500.

The spelling of 55577344 in words is "fifty-five million, five hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3559 3904 7118 7808 14236 15616 28472 56944 113888 217099 227776 434198 455552 868396 911104 1736792 3473584 6947168 13894336 27788672 55577344