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442210525 = 5240014421
BaseRepresentation
bin11010010110111…
…001100011011101
31010211002121210121
4122112321203131
51401201214100
6111514034541
713646504341
oct3226714335
91124077717
10442210525
11207686349
12104118a51
1370800343
1442a31621
1528c5051a
hex1a5b98dd

442210525 has 12 divisors (see below), whose sum is σ = 548602164. Its totient is φ = 353600000.

The previous prime is 442210499. The next prime is 442210529. The reversal of 442210525 is 525012244.

It can be written as a sum of positive squares in 6 ways, for example, as 27762361 + 414448164 = 5269^2 + 20358^2 .

It is not a de Polignac number, because 442210525 - 223 = 433821917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442210525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442210529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97815 + ... + 102235.

It is an arithmetic number, because the mean of its divisors is an integer number (45716847).

Almost surely, 2442210525 is an apocalyptic number.

It is an amenable number.

442210525 is a deficient number, since it is larger than the sum of its proper divisors (106391639).

442210525 is a wasteful number, since it uses less digits than its factorization.

442210525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8427 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 442210525 is about 21028.8022721219. The cubic root of 442210525 is about 761.8620804479.

Adding to 442210525 its reverse (525012244), we get a palindrome (967222769).

The spelling of 442210525 in words is "four hundred forty-two million, two hundred ten thousand, five hundred twenty-five".

Divisors: 1 5 25 4001 4421 20005 22105 100025 110525 17688421 88442105 442210525