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20382525 = 3252157577
BaseRepresentation
bin100110111000…
…0001100111101
31102100112120100
41031300030331
520204220100
62004511313
7335151162
oct115601475
942315510
1020382525
1110561769
1269ab539
1342b8587
1429c8069
151bc9400
hex137033d

20382525 has 36 divisors (see below), whose sum is σ = 36803572. Its totient is φ = 10782720.

The previous prime is 20382503. The next prime is 20382529. The reversal of 20382525 is 52528302.

It can be written as a sum of positive squares in 6 ways, for example, as 213444 + 20169081 = 462^2 + 4491^2 .

It is not a de Polignac number, because 20382525 - 29 = 20382013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20382529) 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 35 ways as a sum of consecutive naturals, for example, 35037 + ... + 35613.

Almost surely, 220382525 is an apocalyptic number.

20382525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20382525 is a deficient number, since it is larger than the sum of its proper divisors (16421047).

20382525 is a wasteful number, since it uses less digits than its factorization.

20382525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20382525 is about 4514.7009867764. The cubic root of 20382525 is about 273.1613987451.

It can be divided in two parts, 203 and 82525, that added together give a palindrome (82728).

The spelling of 20382525 in words is "twenty million, three hundred eighty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 157 225 471 577 785 1413 1731 2355 2885 3925 5193 7065 8655 11775 14425 25965 35325 43275 90589 129825 271767 452945 815301 1358835 2264725 4076505 6794175 20382525