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249693060 = 2235192389107
BaseRepresentation
bin11101110001000…
…00001110000100
3122101211201111010
432320200032010
51002410134220
640435442220
76121233051
oct1670401604
9571751433
10249693060
11118a44101
126b756370
133c965a96
142523a028
1516dc31e0
hexee20384

249693060 has 192 divisors, whose sum is σ = 783820800. Its totient is φ = 59102208.

The previous prime is 249693053. The next prime is 249693139. The reversal of 249693060 is 60396942.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2333527 + ... + 2333633.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2249693060 is an apocalyptic number.

249693060 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 249693060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391910400).

249693060 is an abundant number, since it is smaller than the sum of its proper divisors (534127740).

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

249693060 is a wasteful number, since it uses less digits than its factorization.

249693060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 249693060 is about 15801.6790247113. The cubic root of 249693060 is about 629.7026059197.

The spelling of 249693060 in words is "two hundred forty-nine million, six hundred ninety-three thousand, sixty".