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55516482 = 2337227647
BaseRepresentation
bin1101001111000…
…1110101000010
310212110112022000
43103301311002
5103203011412
65301524430
71242611430
oct323616502
9125415260
1055516482
112937939a
1216713716
13b66a2b8
147531d50
154d194dc
hex34f1d42

55516482 has 64 divisors (see below), whose sum is σ = 141834240. Its totient is φ = 15767568.

The previous prime is 55516481. The next prime is 55516523. The reversal of 55516482 is 28461555.

55516482 is a `hidden beast` number, since 5 + 5 + 5 + 1 + 648 + 2 = 666.

55516482 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 (55516481) 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 31 ways as a sum of consecutive naturals, for example, 85483 + ... + 86129.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 255516482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55516482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70917120).

55516482 is an abundant number, since it is smaller than the sum of its proper divisors (86317758).

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

55516482 is a wasteful number, since it uses less digits than its factorization.

55516482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 55516482 is about 7450.9383301702. The cubic root of 55516482 is about 381.4819370929.

The spelling of 55516482 in words is "fifty-five million, five hundred sixteen thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 227 378 454 647 681 1294 1362 1589 1941 2043 3178 3882 4086 4529 4767 5823 6129 9058 9534 11646 12258 13587 14301 17469 27174 28602 34938 40761 42903 81522 85806 122283 146869 244566 293738 440607 881214 1028083 1321821 2056166 2643642 3084249 3965463 6168498 7930926 9252747 18505494 27758241 55516482