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42325000 = 23551693
BaseRepresentation
bin1010000101110…
…1010000001000
32221122022222121
42201131100020
541313400000
64111101024
71022520334
oct241352010
987568877
1042325000
1121989443
1212211774
1389cbba3
14589a7c4
153ab0b1a
hex285d408

42325000 has 48 divisors (see below), whose sum is σ = 99251460. Its totient is φ = 16920000.

The previous prime is 42324983. The next prime is 42325021. The reversal of 42325000 is 52324.

It can be written as a sum of positive squares in 6 ways, for example, as 6874884 + 35450116 = 2622^2 + 5954^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24154 + ... + 25846.

Almost surely, 242325000 is an apocalyptic number.

42325000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49625730).

42325000 is an abundant number, since it is smaller than the sum of its proper divisors (56926460).

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

42325000 is an equidigital number, since it uses as much as digits as its factorization.

42325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 42325000 is about 6505.7666727297. The cubic root of 42325000 is about 348.4969559101.

Adding to 42325000 its reverse (52324), we get a palindrome (42377324).

It can be divided in two parts, 4232 and 5000, that multiplied together give a square (21160000 = 46002).

The spelling of 42325000 in words is "forty-two million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 1693 2500 3125 3386 5000 6250 6772 8465 12500 13544 16930 25000 33860 42325 67720 84650 169300 211625 338600 423250 846500 1058125 1693000 2116250 4232500 5290625 8465000 10581250 21162500 42325000