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250400000 = 2855313
BaseRepresentation
bin11101110110011…
…00110100000000
3122110011122020002
432323030310000
51003100300000
640502535132
76130236104
oct1673146400
9573148202
10250400000
11119387254
126ba374a8
133cb527a6
1425381904
1516eb28d5
hexeeccd00

250400000 has 108 divisors (see below), whose sum is σ = 626733324. Its totient is φ = 99840000.

The previous prime is 250399957. The next prime is 250400047. The reversal of 250400000 is 4052.

250400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 248882176 + 1517824 = 15776^2 + 1232^2 .

It is a sliding number, since 250400000 = 400000 + 250000000 and 1/400000 + 1/250000000 = 0.00000250400000.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 799844 + ... + 800156.

Almost surely, 2250400000 is an apocalyptic number.

250400000 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 250400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313366662).

250400000 is an abundant number, since it is smaller than the sum of its proper divisors (376333324).

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

250400000 is an frugal number, since it uses more digits than its factorization.

250400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 250400000 is about 15824.0323558820. The cubic root of 250400000 is about 630.2963248644.

Adding to 250400000 its reverse (4052), we get a palindrome (250404052).

It can be divided in two parts, 250 and 400000, that multiplied together give a 8-th power (100000000 = 108).

The spelling of 250400000 in words is "two hundred fifty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 313 320 400 500 625 626 640 800 1000 1250 1252 1280 1565 1600 2000 2500 2504 3125 3130 3200 4000 5000 5008 6250 6260 6400 7825 8000 10000 10016 12500 12520 15650 16000 20000 20032 25000 25040 31300 32000 39125 40000 40064 50000 50080 62600 78250 80000 80128 100000 100160 125200 156500 160000 195625 200000 200320 250400 313000 391250 400000 400640 500800 626000 782500 800000 978125 1001600 1252000 1565000 1956250 2003200 2504000 3130000 3912500 5008000 6260000 7825000 10016000 12520000 15650000 25040000 31300000 50080000 62600000 125200000 250400000