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4298662368 = 25327111323137
BaseRepresentation
bin1000000000011100…
…00110000111100000
3102002120200200012100
410000032012013200
532300424143433
61550315130400
7211345012230
oct40016060740
912076620170
104298662368
111906534730
129bb743a00
13536771700
142cac99cc0
151a25bcb13
hex1003861e0

4298662368 has 864 divisors, whose sum is σ = 17496041472. Its totient is φ = 970444800.

The previous prime is 4298662363. The next prime is 4298662409. The reversal of 4298662368 is 8632668924.

4298662368 is a `hidden beast` number, since 4 + 2 + 9 + 8 + 6 + 623 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5971968) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4298662363) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116180046 + ... + 116180082.

It is an arithmetic number, because the mean of its divisors is an integer number (20250048).

Almost surely, 24298662368 is an apocalyptic number.

4298662368 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 4298662368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8748020736).

4298662368 is an abundant number, since it is smaller than the sum of its proper divisors (13197379104).

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

4298662368 is a wasteful number, since it uses less digits than its factorization.

4298662368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 4298662368 is about 65564.1851013188. The cubic root of 4298662368 is about 1625.9646965189.

It can be divided in two parts, 429866 and 2368, that added together give a palindrome (432234).

The spelling of 4298662368 in words is "four billion, two hundred ninety-eight million, six hundred sixty-two thousand, three hundred sixty-eight".