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250200040 = 235412612
BaseRepresentation
bin11101110100110…
…11111111101000
3122102210110221011
432322123333220
51003022400130
640454353304
76125444116
oct1672337750
9572713834
10250200040
1111925aaa2
126b95b834
133cab277c
142532cab6
1516e7352a
hexee9bfe8

250200040 has 72 divisors (see below), whose sum is σ = 586629810. Its totient is φ = 96038400.

The previous prime is 250200029. The next prime is 250200073. The reversal of 250200040 is 40002052.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 140327716 + 109872324 = 11846^2 + 10482^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4101610 + ... + 4101670.

Almost surely, 2250200040 is an apocalyptic number.

250200040 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 250200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293314905).

250200040 is an abundant number, since it is smaller than the sum of its proper divisors (336429770).

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

250200040 is an equidigital number, since it uses as much as digits as its factorization.

250200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 109 counting only the distinct ones).

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

The square root of 250200040 is about 15817.7128561622. The cubic root of 250200040 is about 630.1285032234.

Adding to 250200040 its reverse (40002052), we get a palindrome (290202092).

The spelling of 250200040 in words is "two hundred fifty million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 122 164 205 244 305 328 410 488 610 820 1220 1640 1681 2440 2501 3362 3721 5002 6724 7442 8405 10004 12505 13448 14884 16810 18605 20008 25010 29768 33620 37210 50020 67240 74420 100040 102541 148840 152561 205082 305122 410164 512705 610244 762805 820328 1025410 1220488 1525610 2050820 3051220 4101640 6102440 6255001 12510002 25020004 31275005 50040008 62550010 125100020 250200040