Search a number
-
+
52481646 = 23272157379
BaseRepresentation
bin1100100000110…
…0111001101110
310122202100021200
43020030321232
5101413403041
65112510330
71205041500
oct310147156
9118670250
1052481646
1127696268
12156ab3a6
13ab46b39
146d81d70
15491a1b6
hex320ce6e

52481646 has 72 divisors (see below), whose sum is σ = 133468920. Its totient is φ = 14859936.

The previous prime is 52481641. The next prime is 52481659. The reversal of 52481646 is 64618425.

52481646 is a `hidden beast` number, since 5 + 2 + 4 + 8 + 1 + 646 = 666.

52481646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52481646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52481641) 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 35 ways as a sum of consecutive naturals, for example, 138285 + ... + 138663.

It is an arithmetic number, because the mean of its divisors is an integer number (1853735).

Almost surely, 252481646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52481646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66734460).

52481646 is an abundant number, since it is smaller than the sum of its proper divisors (80987274).

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

52481646 is a wasteful number, since it uses less digits than its factorization.

52481646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 548 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 52481646 is about 7244.4217160516. The cubic root of 52481646 is about 374.3999791119.

The spelling of 52481646 in words is "fifty-two million, four hundred eighty-one thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 157 294 314 379 441 471 758 882 942 1099 1137 1413 2198 2274 2653 2826 3297 3411 5306 6594 6822 7693 7959 9891 15386 15918 18571 19782 23079 23877 37142 46158 47754 55713 59503 69237 111426 119006 138474 167139 178509 334278 357018 416521 535527 833042 1071054 1249563 2499126 2915647 3748689 5831294 7497378 8746941 17493882 26240823 52481646