Search a number
-
+
5050305832 = 2311137735711
BaseRepresentation
bin1001011010000010…
…11000110100101000
3111000222001010012011
410231001120310220
540320334241312
62153045325304
7236102614465
oct45501306450
914028033164
105050305832
112161847580
12b8b406834
136263c3260
1435ca3866c
151e8591da7
hex12d058d28

5050305832 has 64 divisors (see below), whose sum is σ = 11141141760. Its totient is φ = 2115897600.

The previous prime is 5050305823. The next prime is 5050305847. The reversal of 5050305832 is 2385030505.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 5050305794 and 5050305803.

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 15 ways as a sum of consecutive naturals, for example, 881457 + ... + 887167.

It is an arithmetic number, because the mean of its divisors is an integer number (174080340).

Almost surely, 25050305832 is an apocalyptic number.

5050305832 is a gapful number since it is divisible by the number (52) 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 5050305832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570570880).

5050305832 is an abundant number, since it is smaller than the sum of its proper divisors (6090835928).

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

5050305832 is a wasteful number, since it uses less digits than its factorization.

5050305832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 5050305832 is about 71065.5038116244. The cubic root of 5050305832 is about 1715.6916047710.

The spelling of 5050305832 in words is "five billion, fifty million, three hundred five thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 773 1144 1546 3092 5711 6184 8503 10049 11422 17006 20098 22844 34012 40196 45688 62821 68024 74243 80392 110539 125642 148486 221078 251284 296972 442156 502568 593944 816673 884312 1633346 3266692 4414603 6533384 8829206 17658412 35316824 48560633 57389839 97121266 114779678 194242532 229559356 388485064 459118712 631288229 1262576458 2525152916 5050305832