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4282112824 = 231148660373
BaseRepresentation
bin1111111100111011…
…1101101100111000
3102001102112212111021
43333032331230320
532232210102244
61544524312224
7211054233643
oct37716755470
912042485437
104282112824
1118a8160820
129b60a2674
135331c8992
142c89cca5a
151a0dee284
hexff3bdb38

4282112824 has 16 divisors (see below), whose sum is σ = 8758867320. Its totient is φ = 1946414880.

The previous prime is 4282112771. The next prime is 4282112839.

4282112824 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4282112824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24330099 + ... + 24330274.

Almost surely, 24282112824 is an apocalyptic number.

4282112824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4282112824 is an abundant number, since it is smaller than the sum of its proper divisors (4476754496).

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

4282112824 is a wasteful number, since it uses less digits than its factorization.

4282112824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48660390 (or 48660386 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 4282112824 is about 65437.8546714362. The cubic root of 4282112824 is about 1623.8753969045.

The spelling of 4282112824 in words is "four billion, two hundred eighty-two million, one hundred twelve thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 48660373 97320746 194641492 389282984 535264103 1070528206 2141056412 4282112824