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55503648 = 25324392
BaseRepresentation
bin1101001110111…
…0101100100000
310212102212200200
43103232230200
5103202104043
65301345200
71242526134
oct323565440
9125385620
1055503648
112936a792
1216708200
13b6644c5
14752b3c4
154d157d3
hex34eeb20

55503648 has 54 divisors (see below), whose sum is σ = 158198859. Its totient is φ = 18459072.

The previous prime is 55503647. The next prime is 55503659. The reversal of 55503648 is 84630555.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

55503648 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 3 + 648 = 666.

55503648 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., 27751824 + 27751824 = 5268^2 + 5268^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5268.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55503647) 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 8 ways as a sum of consecutive naturals, for example, 126213 + ... + 126651.

Almost surely, 255503648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55503648

55503648 is an abundant number, since it is smaller than the sum of its proper divisors (102695211).

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

55503648 is an equidigital number, since it uses as much as digits as its factorization.

55503648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 55503648 is about 7450.0770465815. The cubic root of 55503648 is about 381.4525385172.

The spelling of 55503648 in words is "fifty-five million, five hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 439 878 1317 1756 2634 3512 3951 5268 7024 7902 10536 14048 15804 21072 31608 42144 63216 126432 192721 385442 578163 770884 1156326 1541768 1734489 2312652 3083536 3468978 4625304 6167072 6937956 9250608 13875912 18501216 27751824 55503648