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4245028480 = 275711241191
BaseRepresentation
bin1111110100000101…
…1111111010000000
3101221211202210100001
43331001133322000
532143211402410
61541121405344
7210124101220
oct37501377200
911854683301
104245028480
111889231800
129a5799854
13528613294
142c3ad8080
1519ca2633a
hexfd05fe80

4245028480 has 384 divisors, whose sum is σ = 13127546880. Its totient is φ = 1284096000.

The previous prime is 4245028477. The next prime is 4245028519. The reversal of 4245028480 is 848205424.

It is a super-2 number, since 2×42450284802 = 36040533592022220800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 22225185 + ... + 22225375.

It is an arithmetic number, because the mean of its divisors is an integer number (34186320).

Almost surely, 24245028480 is an apocalyptic number.

4245028480 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 4245028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563773440).

4245028480 is an abundant number, since it is smaller than the sum of its proper divisors (8882518400).

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

4245028480 is a wasteful number, since it uses less digits than its factorization.

4245028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The square root of 4245028480 is about 65153.8830769126. The cubic root of 4245028480 is about 1619.1740544047.

The spelling of 4245028480 in words is "four billion, two hundred forty-five million, twenty-eight thousand, four hundred eighty".