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55959048 = 2332777209
BaseRepresentation
bin1101010101110…
…1111000001000
310220022000101100
43111131320020
5103311142143
65315221400
71246433625
oct325357010
9126260340
1055959048
1129650952
12168a7860
13b793882
14760934c
154da56d3
hex355de08

55959048 has 24 divisors (see below), whose sum is σ = 151555950. Its totient is φ = 18652992.

The previous prime is 55959011. The next prime is 55959049. The reversal of 55959048 is 84095955.

55959048 is a `hidden beast` number, since 5 + 59 + 590 + 4 + 8 = 666.

55959048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31337604 + 24621444 = 5598^2 + 4962^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 55958994 and 55959012.

It is not an unprimeable number, because it can be changed into a prime (55959049) 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 5 ways as a sum of consecutive naturals, for example, 388533 + ... + 388676.

Almost surely, 255959048 is an apocalyptic number.

It is an amenable number.

55959048 is an abundant number, since it is smaller than the sum of its proper divisors (95596902).

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

55959048 is a wasteful number, since it uses less digits than its factorization.

55959048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777221 (or 777214 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 55959048 is about 7480.5780525304. The cubic root of 55959048 is about 382.4929538623.

The spelling of 55959048 in words is "fifty-five million, nine hundred fifty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 777209 1554418 2331627 3108836 4663254 6217672 6994881 9326508 13989762 18653016 27979524 55959048