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4245254400 = 283521271741
BaseRepresentation
bin1111110100001001…
…0111000100000000
3101221212012021020110
43331002113010000
532143241120100
61541130311320
7210126031662
oct37502270400
911855167213
104245254400
111889376512
129a5888540
1352869206a
142c3b56532
1519ca6d250
hexfd097100

4245254400 has 216 divisors, whose sum is σ = 14128651264. Its totient is φ = 1122508800.

The previous prime is 4245254393. The next prime is 4245254413. The reversal of 4245254400 is 44525424.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 2437530 + ... + 2439270.

Almost surely, 24245254400 is an apocalyptic number.

4245254400 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 4245254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064325632).

4245254400 is an abundant number, since it is smaller than the sum of its proper divisors (9883396864).

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

4245254400 is a wasteful number, since it uses less digits than its factorization.

4245254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 4245254400 is about 65155.6167954843. The cubic root of 4245254400 is about 1619.2027779900.

Adding to 4245254400 its reverse (44525424), we get a palindrome (4289779824).

The spelling of 4245254400 in words is "four billion, two hundred forty-five million, two hundred fifty-four thousand, four hundred".