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4242447360 = 21033530689
BaseRepresentation
bin1111110011011110…
…1001110000000000
3101221122220122201000
43330313221300000
532142031303420
61540550212000
7210063131124
oct37467516000
911848818630
104242447360
111887829548
129a4954000
13527c1b4a8
142c3625584
1519c6b6690
hexfcde9c00

4242447360 has 176 divisors, whose sum is σ = 15077383200. Its totient is φ = 1131282432.

The previous prime is 4242447347. The next prime is 4242447373. The reversal of 4242447360 is 637442424.

4242447360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4242447347) and next prime (4242447373).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122896 + ... + 153584.

It is an arithmetic number, because the mean of its divisors is an integer number (85666950).

Almost surely, 24242447360 is an apocalyptic number.

4242447360 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 4242447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538691600).

4242447360 is an abundant number, since it is smaller than the sum of its proper divisors (10834935840).

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

4242447360 is a wasteful number, since it uses less digits than its factorization.

4242447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30723 (or 30699 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 4242447360 is about 65134.0721895998. The cubic root of 4242447360 is about 1618.8458171196.

Adding to 4242447360 its reverse (637442424), we get a palindrome (4879889784).

The spelling of 4242447360 in words is "four billion, two hundred forty-two million, four hundred forty-seven thousand, three hundred sixty".