Search a number
-
+
537661085 = 51341229881
BaseRepresentation
bin100000000011000…
…000111010011101
31101110201000100112
4200003000322131
52100120123320
6125203535405
716216021013
oct4003007235
91343630315
10537661085
1125654a805
1213008a565
1387510170
145159a8b3
1532306ec5
hex200c0e9d

537661085 has 32 divisors (see below), whose sum is σ = 715690080. Its totient is φ = 385228800.

The previous prime is 537661079. The next prime is 537661093. The reversal of 537661085 is 580166735.

It can be written as a sum of positive squares in 16 ways, for example, as 307441156 + 230219929 = 17534^2 + 15173^2 .

It is not a de Polignac number, because 537661085 - 28 = 537660829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609845 + ... + 610725.

It is an arithmetic number, because the mean of its divisors is an integer number (22365315).

Almost surely, 2537661085 is an apocalyptic number.

It is an amenable number.

537661085 is a deficient number, since it is larger than the sum of its proper divisors (178028995).

537661085 is a wasteful number, since it uses less digits than its factorization.

537661085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169.

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 537661085 is about 23187.5200269455. The cubic root of 537661085 is about 813.1478811960.

The spelling of 537661085 in words is "five hundred thirty-seven million, six hundred sixty-one thousand, eighty-five".

Divisors: 1 5 13 41 65 205 229 533 881 1145 2665 2977 4405 9389 11453 14885 36121 46945 57265 122057 180605 201749 469573 610285 1008745 2347865 2622737 8271709 13113685 41358545 107532217 537661085