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4812485832 = 23337111997157
BaseRepresentation
bin1000111101101100…
…01011010011001000
3110102101112121111000
410132312023103020
534323444021312
62113312135000
7230154311640
oct43666132310
913371477430
104812485832
11204a582920
12b23837460
135b905676b
1433920d520
151d2766adc
hex11ed8b4c8

4812485832 has 512 divisors, whose sum is σ = 17837568000. Its totient is φ = 1164533760.

The previous prime is 4812485791. The next prime is 4812485833. The reversal of 4812485832 is 2385842184.

4812485832 is a `hidden beast` number, since 48 + 1 + 24 + 8 + 583 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4812485833) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30652698 + ... + 30652854.

It is an arithmetic number, because the mean of its divisors is an integer number (34839000).

Almost surely, 24812485832 is an apocalyptic number.

4812485832 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 4812485832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918784000).

4812485832 is an abundant number, since it is smaller than the sum of its proper divisors (13025082168).

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

4812485832 is a wasteful number, since it uses less digits than its factorization.

4812485832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 4812485832 is about 69372.0825116271. The cubic root of 4812485832 is about 1688.3266973589.

It can be divided in two parts, 48124 and 85832, that added together give a square (133956 = 3662).

The spelling of 4812485832 in words is "four billion, eight hundred twelve million, four hundred eighty-five thousand, eight hundred thirty-two".