Search a number
-
+
250430000 = 245479317
BaseRepresentation
bin11101110110101…
…00001000110000
3122110020011101012
432323110020300
51003102230000
640503330052
76130422422
oct1673241060
9573204335
10250430000
111193a7847
126ba50928
133cb63342
142538c812
1516ebb735
hexeed4230

250430000 has 100 divisors (see below), whose sum is σ = 615927840. Its totient is φ = 98592000.

The previous prime is 250429967. The next prime is 250430017. The reversal of 250430000 is 34052.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 789842 + ... + 790158.

Almost surely, 2250430000 is an apocalyptic number.

250430000 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 250430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307963920).

250430000 is an abundant number, since it is smaller than the sum of its proper divisors (365497840).

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

250430000 is an equidigital number, since it uses as much as digits as its factorization.

250430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 250430000 is about 15824.9802527523. The cubic root of 250430000 is about 630.3214954377.

Adding to 250430000 its reverse (34052), we get a palindrome (250464052).

The spelling of 250430000 in words is "two hundred fifty million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 317 395 400 500 625 632 634 790 1000 1250 1264 1268 1580 1585 1975 2000 2500 2536 3160 3170 3950 5000 5072 6320 6340 7900 7925 9875 10000 12680 15800 15850 19750 25043 25360 31600 31700 39500 39625 49375 50086 63400 79000 79250 98750 100172 125215 126800 158000 158500 197500 198125 200344 250430 317000 395000 396250 400688 500860 626075 634000 790000 792500 1001720 1252150 1585000 2003440 2504300 3130375 3170000 5008600 6260750 10017200 12521500 15651875 25043000 31303750 50086000 62607500 125215000 250430000