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4263075040 = 2557174143127
BaseRepresentation
bin1111111000011001…
…0101110011100000
3102000002201122120011
43332012111303200
532212321400130
61543004254304
7210433353130
oct37606256340
912002648504
104263075040
111898438414
129ab841394
1352c291513
142c6274ac0
1519e3dd52a
hexfe195ce0

4263075040 has 384 divisors, whose sum is σ = 12875563008. Its totient is φ = 1300561920.

The previous prime is 4263075013. The next prime is 4263075053. The reversal of 4263075040 is 405703624.

It is a junction number, because it is equal to n+sod(n) for n = 4263074993 and 4263075011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33567457 + ... + 33567583.

It is an arithmetic number, because the mean of its divisors is an integer number (33530112).

Almost surely, 24263075040 is an apocalyptic number.

4263075040 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 4263075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437781504).

4263075040 is an abundant number, since it is smaller than the sum of its proper divisors (8612487968).

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

4263075040 is a wasteful number, since it uses less digits than its factorization.

4263075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 4263075040 is about 65292.2280214116. The cubic root of 4263075040 is about 1621.4653002495.

Adding to 4263075040 its reverse (405703624), we get a palindrome (4668778664).

The spelling of 4263075040 in words is "four billion, two hundred sixty-three million, seventy-five thousand, forty".