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424644768 = 25341723419
BaseRepresentation
bin11001010011111…
…001000010100000
31002121001012010000
4121103321002200
51332202113033
6110045340000
713344264252
oct3123710240
91077035100
10424644768
111a8778999
12ba267600
1369c8cbc2
144057bcd2
1527430a13
hex194f90a0

424644768 has 240 divisors, whose sum is σ = 1383117120. Its totient is φ = 127125504.

The previous prime is 424644763. The next prime is 424644769. The reversal of 424644768 is 867446424.

It is not an unprimeable number, because it can be changed into a prime (424644763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1013263 + ... + 1013681.

It is an arithmetic number, because the mean of its divisors is an integer number (5762988).

Almost surely, 2424644768 is an apocalyptic number.

424644768 is a gapful number since it is divisible by the number (48) 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 424644768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691558560).

424644768 is an abundant number, since it is smaller than the sum of its proper divisors (958472352).

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

424644768 is a wasteful number, since it uses less digits than its factorization.

424644768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 464 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 424644768 is about 20606.9106854958. The cubic root of 424644768 is about 751.6377650310.

The spelling of 424644768 in words is "four hundred twenty-four million, six hundred forty-four thousand, seven hundred sixty-eight".