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55342440 = 23345192931
BaseRepresentation
bin1101001100011…
…1010101101000
310212010200120000
43103013111220
5103131424230
65254103000
71241255136
oct323072550
9125120500
1055342440
112926a65a
121664aa60
13b60900a
1474c8756
154cd2b60
hex34c7568

55342440 has 320 divisors, whose sum is σ = 209088000. Its totient is φ = 13063680.

The previous prime is 55342387. The next prime is 55342447. The reversal of 55342440 is 4424355.

55342440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55342447) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1785225 + ... + 1785255.

It is an arithmetic number, because the mean of its divisors is an integer number (653400).

Almost surely, 255342440 is an apocalyptic number.

55342440 is the 3720-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104544000).

55342440 is an abundant number, since it is smaller than the sum of its proper divisors (153745560).

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

55342440 is a wasteful number, since it uses less digits than its factorization.

55342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 55342440 is about 7439.2499621938. The cubic root of 55342440 is about 381.0828761370.

Adding to 55342440 its reverse (4424355), we get a palindrome (59766795).

The spelling of 55342440 in words is "fifty-five million, three hundred forty-two thousand, four hundred forty".