Search a number
-
+
52400460 = 223571741179
BaseRepresentation
bin1100011111100…
…1000101001100
310122121012220210
43013321011030
5101403303320
65111042420
71204253010
oct307710514
9118535823
1052400460
1127640272
1215670410
13ab18bb8
146d60540
1549010e0
hex31f914c

52400460 has 192 divisors, whose sum is σ = 182891520. Its totient is φ = 10936320.

The previous prime is 52400459. The next prime is 52400471. The reversal of 52400460 is 6400425.

It is a happy number.

52400460 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 63 ways as a sum of consecutive naturals, for example, 292651 + ... + 292829.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 252400460 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 52400460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

52400460 is an abundant number, since it is smaller than the sum of its proper divisors (130491060).

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

52400460 is a wasteful number, since it uses less digits than its factorization.

52400460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 52400460 is about 7238.8162015622. The cubic root of 52400460 is about 374.2068212740.

Adding to 52400460 its reverse (6400425), we get a palindrome (58800885).

The spelling of 52400460 in words is "fifty-two million, four hundred thousand, four hundred sixty".