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6241587072 = 27372674951
BaseRepresentation
bin1011101000000011…
…10000111110000000
3121002222122110211120
411310001300332000
5100240321241242
62511202512240
7310446420600
oct56401607600
917088573746
106241587072
112713238826
121262365680
137861540b6
14432d38c00
15267e591ec
hex174070f80

6241587072 has 192 divisors, whose sum is σ = 19577831040. Its totient is φ = 1756339200.

The previous prime is 6241587047. The next prime is 6241587083. The reversal of 6241587072 is 2707851426.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258197 + ... + 1263147.

It is an arithmetic number, because the mean of its divisors is an integer number (101967870).

Almost surely, 26241587072 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 6241587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9788915520).

6241587072 is an abundant number, since it is smaller than the sum of its proper divisors (13336243968).

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

6241587072 is a wasteful number, since it uses less digits than its factorization.

6241587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 6241587072 is about 79003.7155581938. The cubic root of 6241587072 is about 1841.1888850906.

The spelling of 6241587072 in words is "six billion, two hundred forty-one million, five hundred eighty-seven thousand, seventy-two".