Search a number
-
+
424053525 = 35271747513
BaseRepresentation
bin11001010001101…
…000101100010101
31002112221011002010
4121101220230111
51332024203100
6110024534433
713336252440
oct3121505425
91075834063
10424053525
111a8404765
12ba021419
1369b13a5c
1440466657
1527365750
hex19468b15

424053525 has 48 divisors (see below), whose sum is σ = 848409984. Its totient is φ = 182446080.

The previous prime is 424053523. The next prime is 424053541. The reversal of 424053525 is 525350424.

It is not a de Polignac number, because 424053525 - 21 = 424053523 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 424053492 and 424053501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424053521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14832 + ... + 32681.

It is an arithmetic number, because the mean of its divisors is an integer number (17675208).

Almost surely, 2424053525 is an apocalyptic number.

It is an amenable number.

424053525 is an abundant number, since it is smaller than the sum of its proper divisors (424356459).

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

424053525 is a wasteful number, since it uses less digits than its factorization.

424053525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47550 (or 47545 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 424053525 is about 20592.5599428531. The cubic root of 424053525 is about 751.2887619661.

The spelling of 424053525 in words is "four hundred twenty-four million, fifty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1275 1785 2975 8925 47513 142539 237565 332591 712695 807721 997773 1187825 1662955 2423163 3563475 4038605 4988865 5654047 8314775 12115815 16962141 20193025 24944325 28270235 60579075 84810705 141351175 424053525