Search a number
-
+
55086570 = 23257117949
BaseRepresentation
bin1101001000100…
…0110111101010
310211122200120100
43102020313222
5103100232240
65244410230
71236141150
oct322106752
9124580510
1055086570
11291053a0
1216546976
13b549706
14745d3d0
154c81e30
hex3488dea

55086570 has 96 divisors (see below), whose sum is σ = 178588800. Its totient is φ = 11445120.

The previous prime is 55086553. The next prime is 55086571. The reversal of 55086570 is 7568055.

55086570 is a `hidden beast` number, since 5 + 5 + 0 + 86 + 570 = 666.

55086570 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55086571) 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 47 ways as a sum of consecutive naturals, for example, 2956 + ... + 10904.

It is an arithmetic number, because the mean of its divisors is an integer number (1860300).

Almost surely, 255086570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55086570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89294400).

55086570 is an abundant number, since it is smaller than the sum of its proper divisors (123502230).

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

55086570 is a wasteful number, since it uses less digits than its factorization.

55086570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55086570 is about 7422.0327404290. The cubic root of 55086570 is about 380.4946697209.

The spelling of 55086570 in words is "fifty-five million, eighty-six thousand, five hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 7949 15898 23847 39745 47694 55643 71541 79490 87439 111286 119235 143082 166929 174878 238470 262317 278215 333858 357705 437195 500787 524634 556430 612073 715410 786951 834645 874390 1001574 1224146 1311585 1573902 1669290 1836219 2503935 2623170 3060365 3672438 3934755 5007870 5508657 6120730 7869510 9181095 11017314 18362190 27543285 55086570