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4245770880 = 273251356701
BaseRepresentation
bin1111110100010001…
…0101001010000000
3101221220011111201100
43331010111022000
532143404132010
61541145334400
7210133312521
oct37504251200
911856144640
104245770880
11188969955a
129a5a97400
13528813180
142c3c4c848
1519cb212c0
hexfd115280

4245770880 has 192 divisors, whose sum is σ = 15789238920. Its totient is φ = 1045094400.

The previous prime is 4245770869. The next prime is 4245770887. The reversal of 4245770880 is 880775424.

It can be written as a sum of positive squares in 4 ways, for example, as 2944581696 + 1301189184 = 54264^2 + 36072^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4245770887) 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 23 ways as a sum of consecutive naturals, for example, 46530 + ... + 103230.

Almost surely, 24245770880 is an apocalyptic number.

4245770880 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 4245770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894619460).

4245770880 is an abundant number, since it is smaller than the sum of its proper divisors (11543468040).

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

4245770880 is a wasteful number, since it uses less digits than its factorization.

4245770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56739 (or 56724 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4245770880 is about 65159.5801091443. The cubic root of 4245770880 is about 1619.2684396960.

The spelling of 4245770880 in words is "four billion, two hundred forty-five million, seven hundred seventy thousand, eight hundred eighty".