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52305040 = 2454211553
BaseRepresentation
bin1100011110000…
…1110010010000
310122102101000201
43013201302100
5101342230130
65105024544
71203404554
oct307416220
9118371021
1052305040
1127585607
1215625154
13aab4638
146d37864
1548d2bca
hex31e1c90

52305040 has 40 divisors (see below), whose sum is σ = 121976568. Its totient is φ = 20858880.

The previous prime is 52305037. The next prime is 52305049. The reversal of 52305040 is 4050325.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 48664576 = 1908^2 + 6976^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 52304999 and 52305017.

It is not an unprimeable number, because it can be changed into a prime (52305049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32904 + ... + 34456.

Almost surely, 252305040 is an apocalyptic number.

It is an amenable number.

52305040 is an abundant number, since it is smaller than the sum of its proper divisors (69671528).

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

52305040 is a wasteful number, since it uses less digits than its factorization.

52305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 52305040 is about 7232.2223417149. Note that the first 3 decimals coincide. The cubic root of 52305040 is about 373.9795426674.

Adding to 52305040 its reverse (4050325), we get a palindrome (56355365).

The spelling of 52305040 in words is "fifty-two million, three hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 421 842 1553 1684 2105 3106 3368 4210 6212 6736 7765 8420 12424 15530 16840 24848 31060 33680 62120 124240 653813 1307626 2615252 3269065 5230504 6538130 10461008 13076260 26152520 52305040