Search a number
-
+
52405122 = 23711671693
BaseRepresentation
bin1100011111101…
…0001110000010
310122121110022110
43013322032002
5101403430442
65111120150
71204302420
oct307721602
9118543273
1052405122
1127643820
1215673056
13ab1b063
146d62110
15490269c
hex31fa382

52405122 has 64 divisors (see below), whose sum is σ = 132701184. Its totient is φ = 13400640.

The previous prime is 52405099. The next prime is 52405147. The reversal of 52405122 is 22150425.

It is a happy number.

52405122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30108 + ... + 31800.

It is an arithmetic number, because the mean of its divisors is an integer number (2073456).

Almost surely, 252405122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52405122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66350592).

52405122 is an abundant number, since it is smaller than the sum of its proper divisors (80296062).

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

52405122 is a wasteful number, since it uses less digits than its factorization.

52405122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 52405122 is about 7239.1382083781. The cubic root of 52405122 is about 374.2179185078.

Adding to 52405122 its reverse (22150425), we get a palindrome (74555547).

The spelling of 52405122 in words is "fifty-two million, four hundred five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 134 154 201 231 402 462 469 737 938 1407 1474 1693 2211 2814 3386 4422 5079 5159 10158 10318 11851 15477 18623 23702 30954 35553 37246 55869 71106 111738 113431 130361 226862 260722 340293 391083 680586 782166 794017 1247741 1588034 2382051 2495482 3743223 4764102 7486446 8734187 17468374 26202561 52405122