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242500000 = 255797
BaseRepresentation
bin11100111010001…
…00000110100000
3121220022021110111
432131010012200
5444040000000
640021341104
76003134041
oct1635040640
9556267414
10242500000
11114980926
1269267794
133b317a32
14242c68c8
1516451cba
hexe7441a0

242500000 has 96 divisors (see below), whose sum is σ = 602928144. Its totient is φ = 96000000.

The previous prime is 242499973. The next prime is 242500009. The reversal of 242500000 is 5242.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 226081296 + 16418704 = 15036^2 + 4052^2 .

It is not an unprimeable number, because it can be changed into a prime (242500009) 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 15 ways as a sum of consecutive naturals, for example, 2499952 + ... + 2500048.

Almost surely, 2242500000 is an apocalyptic number.

242500000 is a gapful number since it is divisible by the number (20) 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 242500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301464072).

242500000 is an abundant number, since it is smaller than the sum of its proper divisors (360428144).

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

242500000 is an frugal number, since it uses more digits than its factorization.

242500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 242500000 is about 15572.4115023974. The cubic root of 242500000 is about 623.5968522396.

Adding to 242500000 its reverse (5242), we get a palindrome (242505242).

It can be divided in two parts, 242 and 500000, that multiplied together give a square (121000000 = 110002).

The spelling of 242500000 in words is "two hundred forty-two million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 625 776 800 970 1000 1250 1552 1940 2000 2425 2500 3104 3125 3880 4000 4850 5000 6250 7760 9700 10000 12125 12500 15520 15625 19400 20000 24250 25000 31250 38800 48500 50000 60625 62500 77600 78125 97000 100000 121250 125000 156250 194000 242500 250000 303125 312500 388000 485000 500000 606250 625000 970000 1212500 1250000 1515625 1940000 2425000 2500000 3031250 4850000 6062500 7578125 9700000 12125000 15156250 24250000 30312500 48500000 60625000 121250000 242500000