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250000000 = 2759
BaseRepresentation
bin11101110011010…
…11001010000000
3122102102022112021
432321223022000
51003000000000
640450211224
76123651655
oct1671531200
9572368467
10250000000
11119133778
126b883b14
133ca426c3
14252b9c2c
1516e3411a
hexee6b280

250000000 has 80 divisors (see below), whose sum is σ = 622558530. Its totient is φ = 100000000.

The previous prime is 249999991. The next prime is 250000013. The reversal of 250000000 is 52.

Multipling 250000000 by its product of nonzero digits (10), we get a square (2500000000 = 500002).

250000000 divided by its product of nonzero digits (10) gives a square (25000000 = 50002).

Adding to 250000000 its reverse (52), we get a palindrome (250000052).

It can be divided in two parts, 2 and 50000000, that multiplied together give a 8-th power (100000000 = 108).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 235192896 + 14807104 = 15336^2 + 3848^2 .

It is a sliding number, since 250000000 = 50000000 + 200000000 and 1/50000000 + 1/200000000 = 0.0000000250000000.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 49999998 + ... + 50000002.

Almost surely, 2250000000 is an apocalyptic number.

250000000 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 250000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311279265).

250000000 is an abundant number, since it is smaller than the sum of its proper divisors (372558530).

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

250000000 is an frugal number, since it uses more digits than its factorization.

250000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 250000000 is about 15811.3883008419. The cubic root of 250000000 is about 629.9605249474.

The spelling of 250000000 in words is "two hundred fifty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 125000 156250 200000 250000 312500 390625 400000 500000 625000 781250 1000000 1250000 1562500 1953125 2000000 2500000 3125000 3906250 5000000 6250000 7812500 10000000 12500000 15625000 25000000 31250000 50000000 62500000 125000000 250000000