Search a number
-
+
85177755 = 32513145603
BaseRepresentation
bin1010001001110…
…11010110011011
312221021110220200
411010323112123
5133301142010
612241353243
72052666435
oct504732633
9187243820
1085177755
1144098343
1224638823
1314854050
14b453655
157727cc0
hex513b59b

85177755 has 24 divisors (see below), whose sum is σ = 158999568. Its totient is φ = 41933376.

The previous prime is 85177753. The next prime is 85177759. The reversal of 85177755 is 55777158.

It is not a de Polignac number, because 85177755 - 21 = 85177753 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 85177755.

It is not an unprimeable number, because it can be changed into a prime (85177753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72217 + ... + 73386.

It is an arithmetic number, because the mean of its divisors is an integer number (6624982).

Almost surely, 285177755 is an apocalyptic number.

85177755 is a deficient number, since it is larger than the sum of its proper divisors (73821813).

85177755 is a wasteful number, since it uses less digits than its factorization.

85177755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145627 (or 145624 counting only the distinct ones).

The product of its digits is 343000, while the sum is 45.

The square root of 85177755 is about 9229.1795409993. The cubic root of 85177755 is about 439.9892473268.

It can be divided in two parts, 851 and 77755, that added together give a triangular number (78606 = T396).

The spelling of 85177755 in words is "eighty-five million, one hundred seventy-seven thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 145603 436809 728015 1310427 1892839 2184045 5678517 6552135 9464195 17035551 28392585 85177755