Search a number
-
+
53625516 = 2237798081
BaseRepresentation
bin1100110010010…
…0001010101100
310201220110101020
43030210022230
5102212004031
65153214140
71220544420
oct314441254
9121813336
1053625516
11282a770a
1215b61350
13b157699
14719cb80
154a94096
hex33242ac

53625516 has 48 divisors (see below), whose sum is σ = 144829440. Its totient is φ = 15125760.

The previous prime is 53625503. The next prime is 53625541. The reversal of 53625516 is 61552635.

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, 2596 + ... + 10676.

It is an arithmetic number, because the mean of its divisors is an integer number (3017280).

Almost surely, 253625516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53625516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72414720).

53625516 is an abundant number, since it is smaller than the sum of its proper divisors (91203924).

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

53625516 is a wasteful number, since it uses less digits than its factorization.

53625516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8174 (or 8172 counting only the distinct ones).

The product of its digits is 27000, while the sum is 33.

The square root of 53625516 is about 7322.9444897527. The cubic root of 53625516 is about 377.1005461356.

It can be divided in two parts, 5362 and 5516, that added together give a triangular number (10878 = T147).

The spelling of 53625516 in words is "fifty-three million, six hundred twenty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 6636 8081 16162 24243 32324 48486 56567 96972 113134 169701 226268 339402 638399 678804 1276798 1915197 2553596 3830394 4468793 7660788 8937586 13406379 17875172 26812758 53625516