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4240852000 = 25537311281
BaseRepresentation
bin1111110011000110…
…0100010000100000
3101221112220121021121
43330301210100200
532141124231000
61540452102024
7210043435000
oct37461442040
911845817247
104240852000
111886939970
129a4304914
135277b02a8
142c332c000
1519c49db1a
hexfcc64420

4240852000 has 384 divisors, whose sum is σ = 13303180800. Its totient is φ = 1317120000.

The previous prime is 4240851947. The next prime is 4240852001. The reversal of 4240852000 is 2580424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (4240852001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15091860 + ... + 15092140.

It is an arithmetic number, because the mean of its divisors is an integer number (34643700).

Almost surely, 24240852000 is an apocalyptic number.

4240852000 is a gapful number since it is divisible by the number (40) 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 4240852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651590400).

4240852000 is an abundant number, since it is smaller than the sum of its proper divisors (9062328800).

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

4240852000 is a wasteful number, since it uses less digits than its factorization.

4240852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4240852000 is about 65121.8242987710. The cubic root of 4240852000 is about 1618.6428709235.

The spelling of 4240852000 in words is "four billion, two hundred forty million, eight hundred fifty-two thousand".