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575681085 = 32576727277
BaseRepresentation
bin100010010100000…
…011001000111101
31111010020121222200
4202110003020331
52134333243320
6133042502113
720160131340
oct4224031075
91433217880
10575681085
11275a587a1
12140964939
13923626c5
1456656457
1535817290
hex2250323d

575681085 has 48 divisors (see below), whose sum is σ = 1157460096. Its totient is φ = 259231104.

The previous prime is 575681027. The next prime is 575681101. The reversal of 575681085 is 580186575.

575681085 = T5718 + T5719 + ... + T5752.

575681085 is a `hidden beast` number, since 5 + 7 + 568 + 1 + 0 + 85 = 666.

It is not a de Polignac number, because 575681085 - 213 = 575672893 is a prime.

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 575681085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7467 + ... + 34743.

It is an arithmetic number, because the mean of its divisors is an integer number (24113752).

Almost surely, 2575681085 is an apocalyptic number.

It is an amenable number.

575681085 is an abundant number, since it is smaller than the sum of its proper divisors (581779011).

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

575681085 is a wasteful number, since it uses less digits than its factorization.

575681085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27362 (or 27359 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 575681085 is about 23993.3550175877. The cubic root of 575681085 is about 831.8799430171.

It can be divided in two parts, 57568 and 1085, that added together give a triangular number (58653 = T342).

The spelling of 575681085 in words is "five hundred seventy-five million, six hundred eighty-one thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 201 315 335 469 603 1005 1407 2345 3015 4221 7035 21105 27277 81831 136385 190939 245493 409155 572817 954695 1227465 1718451 1827559 2864085 5482677 8592255 9137795 12792913 16448031 27413385 38378739 63964565 82240155 115136217 191893695 575681085