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55435744 = 2571319037
BaseRepresentation
bin1101001101111…
…0000111100000
310212022102112201
43103132013200
5103142420434
65300102544
71242124150
oct323360740
9125272481
1055435744
1129323771
1216694a54
13b63c620
147510760
154d00614
hex34de1e0

55435744 has 48 divisors (see below), whose sum is σ = 134332128. Its totient is φ = 21929472.

The previous prime is 55435741. The next prime is 55435753. The reversal of 55435744 is 44753455.

55435744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55435741) 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 7 ways as a sum of consecutive naturals, for example, 6607 + ... + 12430.

It is an arithmetic number, because the mean of its divisors is an integer number (2798586).

Almost surely, 255435744 is an apocalyptic number.

It is an amenable number.

55435744 is an abundant number, since it is smaller than the sum of its proper divisors (78896384).

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

55435744 is a wasteful number, since it uses less digits than its factorization.

55435744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19067 (or 19059 counting only the distinct ones).

The product of its digits is 168000, while the sum is 37.

The square root of 55435744 is about 7445.5183835647. The cubic root of 55435744 is about 381.2969167739.

The spelling of 55435744 in words is "fifty-five million, four hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 19037 38074 76148 133259 152296 247481 266518 304592 494962 533036 609184 989924 1066072 1732367 1979848 2132144 3464734 3959696 4264288 6929468 7919392 13858936 27717872 55435744