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55609785 = 32571121459
BaseRepresentation
bin1101010000100…
…0100110111001
310212122021021200
43110020212321
5103214003120
65303524413
71243450440
oct324104671
9125567250
1055609785
1129432500
1216759709
13b6a08ca
147557d57
154d36e90
hex35089b9

55609785 has 72 divisors (see below), whose sum is σ = 121168320. Its totient is φ = 23094720.

The previous prime is 55609769. The next prime is 55609787. The reversal of 55609785 is 58790655.

55609785 is a `hidden beast` number, since 5 + 560 + 9 + 7 + 85 = 666.

It is not a de Polignac number, because 55609785 - 24 = 55609769 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 55609785.

It is not an unprimeable number, because it can be changed into a prime (55609787) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37386 + ... + 38844.

Almost surely, 255609785 is an apocalyptic number.

55609785 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55609785 is an abundant number, since it is smaller than the sum of its proper divisors (65558535).

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

55609785 is a wasteful number, since it uses less digits than its factorization.

55609785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 55609785 is about 7457.1968594104. The cubic root of 55609785 is about 381.6955282442.

The spelling of 55609785 in words is "fifty-five million, six hundred nine thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 121 165 231 315 363 385 495 605 693 847 1089 1155 1459 1815 2541 3465 4235 4377 5445 7295 7623 10213 12705 13131 16049 21885 30639 38115 48147 51065 65655 80245 91917 112343 144441 153195 176539 240735 337029 459585 529617 561715 722205 882695 1011087 1235773 1588851 1685145 2648085 3707319 5055435 6178865 7944255 11121957 18536595 55609785