[go: up one dir, main page]

Search a number
-
+
52106544 = 2433717231
BaseRepresentation
bin1100011011000…
…1010100110000
310122001021202000
43012301110300
5101314402134
65100454000
71201620060
oct306612460
9118037660
1052106544
112745a466
121554a300
13aa45199
146cc53a0
154893e99
hex31b1530

52106544 has 80 divisors (see below), whose sum is σ = 170941440. Its totient is φ = 14886720.

The previous prime is 52106521. The next prime is 52106611. The reversal of 52106544 is 44560125.

52106544 is a `hidden beast` number, since 5 + 2 + 1 + 0 + 654 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 5592 + ... + 11639.

It is an arithmetic number, because the mean of its divisors is an integer number (2136768).

Almost surely, 252106544 is an apocalyptic number.

52106544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

52106544 is an abundant number, since it is smaller than the sum of its proper divisors (118834896).

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

52106544 is a wasteful number, since it uses less digits than its factorization.

52106544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17255 (or 17243 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52106544 is about 7218.4862679096. The cubic root of 52106544 is about 373.5058627166.

Adding to 52106544 its reverse (44560125), we get a palindrome (96666669).

It can be divided in two parts, 52106 and 544, that added together give a triangular number (52650 = T324).

The spelling of 52106544 in words is "fifty-two million, one hundred six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 17231 34462 51693 68924 103386 120617 137848 155079 206772 241234 275696 310158 361851 413544 465237 482468 620316 723702 827088 930474 964936 1085553 1240632 1447404 1860948 1929872 2171106 2481264 2894808 3256659 3721896 4342212 5789616 6513318 7443792 8684424 13026636 17368848 26053272 52106544