Search a number
-
+
55642561 = 1329373989
BaseRepresentation
bin1101010001000…
…0100111000001
310212200221020121
43110100213001
5103221030221
65304340241
71243645132
oct324204701
9125627217
1055642561
1129455097
1216774681
13b6b27c0
147565c89
154d41a41
hex35109c1

55642561 has 16 divisors (see below), whose sum is σ = 63680400. Its totient is φ = 48238848.

The previous prime is 55642549. The next prime is 55642577. The reversal of 55642561 is 16524655.

It can be written as a sum of positive squares in 8 ways, for example, as 50625 + 55591936 = 225^2 + 7456^2 .

It is a cyclic number.

It is not a de Polignac number, because 55642561 - 29 = 55642049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55642511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11955 + ... + 15943.

It is an arithmetic number, because the mean of its divisors is an integer number (3980025).

It is the magic constant of a 481 × 481 magic square.

Almost surely, 255642561 is an apocalyptic number.

It is an amenable number.

55642561 is a deficient number, since it is larger than the sum of its proper divisors (8037839).

55642561 is a wasteful number, since it uses less digits than its factorization.

55642561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068.

The product of its digits is 36000, while the sum is 34.

The square root of 55642561 is about 7459.3941442989. The cubic root of 55642561 is about 381.7705030326.

The spelling of 55642561 in words is "fifty-five million, six hundred forty-two thousand, five hundred sixty-one".

Divisors: 1 13 29 37 377 481 1073 3989 13949 51857 115681 147593 1503853 1918709 4280197 55642561