Search a number
-
+
5874505728 = 211372131979
BaseRepresentation
bin1010111100010010…
…11101100000000000
3120011101220210220020
411132021131200000
544012333140403
62410531013440
7265401321600
oct53611354000
916141823806
105874505728
112545007113
12117b43a280
1372809a0c0
143da2a2c00
15245ae9453
hex15e25d800

5874505728 has 576 divisors, whose sum is σ = 20913984000. Its totient is φ = 1449197568.

The previous prime is 5874505717. The next prime is 5874505783. The reversal of 5874505728 is 8275054785.

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 47 ways as a sum of consecutive naturals, for example, 74360793 + ... + 74360871.

It is an arithmetic number, because the mean of its divisors is an integer number (36309000).

Almost surely, 25874505728 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 5874505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992000).

5874505728 is an abundant number, since it is smaller than the sum of its proper divisors (15039478272).

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

5874505728 is a wasteful number, since it uses less digits than its factorization.

5874505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 51.

The square root of 5874505728 is about 76645.3242409477. The cubic root of 5874505728 is about 1804.3624360492.

The spelling of 5874505728 in words is "five billion, eight hundred seventy-four million, five hundred five thousand, seven hundred twenty-eight".