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4285112832 = 293271113929
BaseRepresentation
bin1111111101101001…
…1010001000000000
3102001122012021201200
43333122122020000
532233442102312
61545112501200
7211121600220
oct37732321000
912048167650
104285112832
1118a991a770
129b70aa800
13533a09330
142c9170080
151a12e30dc
hexff69a200

4285112832 has 480 divisors, whose sum is σ = 16622686080. Its totient is φ = 1026293760.

The previous prime is 4285112831. The next prime is 4285112849. The reversal of 4285112832 is 2382115824.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4285112831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4612144 + ... + 4613072.

It is an arithmetic number, because the mean of its divisors is an integer number (34630596).

Almost surely, 24285112832 is an apocalyptic number.

4285112832 is a gapful number since it is divisible by the number (42) 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 4285112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311343040).

4285112832 is an abundant number, since it is smaller than the sum of its proper divisors (12337573248).

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

4285112832 is a wasteful number, since it uses less digits than its factorization.

4285112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 965 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 4285112832 is about 65460.7732309969. The cubic root of 4285112832 is about 1624.2545323259.

The spelling of 4285112832 in words is "four billion, two hundred eighty-five million, one hundred twelve thousand, eight hundred thirty-two".