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4857439104 = 273471731127
BaseRepresentation
bin1001000011000011…
…01010001110000000
3110112112010110210000
410201201222032000
534422001022404
62121555440000
7231241360020
oct44141521600
913475113700
104857439104
112072996991
12b368b6000
135c5465a2b
14341191a80
151d6696339
hex12186a380

4857439104 has 640 divisors, whose sum is σ = 18199019520. Its totient is φ = 1254113280.

The previous prime is 4857439061. The next prime is 4857439123. The reversal of 4857439104 is 4019347584.

4857439104 is a `hidden beast` number, since 48 + 574 + 39 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4857439104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38247489 + ... + 38247615.

It is an arithmetic number, because the mean of its divisors is an integer number (28435968).

Almost surely, 24857439104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4857439104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099509760).

4857439104 is an abundant number, since it is smaller than the sum of its proper divisors (13341580416).

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

4857439104 is a wasteful number, since it uses less digits than its factorization.

4857439104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4857439104 is about 69695.3305752975. The cubic root of 4857439104 is about 1693.5672817623.

It can be divided in two parts, 48574 and 39104, that added together give a palindrome (87678).

The spelling of 4857439104 in words is "four billion, eight hundred fifty-seven million, four hundred thirty-nine thousand, one hundred four".