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53985555 = 33513191619
BaseRepresentation
bin1100110111110…
…0000100010011
310202120202021000
43031330010103
5102310014210
65205033043
71223604201
oct315740423
9122522230
1053985555
1128523168
12160b5783
13b252520
147254071
154b15ac0
hex337c113

53985555 has 64 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 25163136.

The previous prime is 53985551. The next prime is 53985571. The reversal of 53985555 is 55558935.

53985555 is a `hidden beast` number, since 5 + 3 + 98 + 5 + 555 = 666.

53985555 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53985555 - 22 = 53985551 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 53985555.

It is not an unprimeable number, because it can be changed into a prime (53985551) 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 63 ways as a sum of consecutive naturals, for example, 32536 + ... + 34154.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 253985555 is an apocalyptic number.

53985555 is an abundant number, since it is smaller than the sum of its proper divisors (54878445).

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

53985555 is a wasteful number, since it uses less digits than its factorization.

53985555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1659 counting only the distinct ones).

The product of its digits is 675000, while the sum is 45.

The square root of 53985555 is about 7347.4863048528. The cubic root of 53985555 is about 377.9426090748.

The spelling of 53985555 in words is "fifty-three million, nine hundred eighty-five thousand, five hundred fifty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 285 351 513 585 741 855 1235 1619 1755 2223 2565 3705 4857 6669 8095 11115 14571 21047 24285 30761 33345 43713 63141 72855 92283 105235 153805 189423 218565 276849 315705 399893 461415 568269 830547 947115 1199679 1384245 1999465 2841345 3599037 4152735 5998395 10797111 17995185 53985555