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55362461 = 7112163401
BaseRepresentation
bin1101001100110…
…0001110011101
310212011201000112
43103030032131
5103133044321
65254335405
71241400410
oct323141635
9125151015
1055362461
1129283700
121665a565
13b61516b
1474d1b77
154cd8a5b
hex34cc39d

55362461 has 24 divisors (see below), whose sum is σ = 70147392. Its totient is φ = 42768000.

The previous prime is 55362451. The next prime is 55362481. The reversal of 55362461 is 16426355.

55362461 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 55362461 - 214 = 55346077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55362401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137861 + ... + 138261.

It is an arithmetic number, because the mean of its divisors is an integer number (2922808).

Almost surely, 255362461 is an apocalyptic number.

It is an amenable number.

55362461 is a deficient number, since it is larger than the sum of its proper divisors (14784931).

55362461 is a wasteful number, since it uses less digits than its factorization.

55362461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 582 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 55362461 is about 7440.5954734819. The cubic root of 55362461 is about 381.1288248423.

It can be divided in two parts, 5536 and 2461, that added together give a palindrome (7997).

The spelling of 55362461 in words is "fifty-five million, three hundred sixty-two thousand, four hundred sixty-one".

Divisors: 1 7 11 77 121 163 401 847 1141 1793 2807 4411 12551 19723 30877 48521 65363 138061 339647 457541 718993 5032951 7908923 55362461