Search a number
-
+
4085249728 = 26710785223
BaseRepresentation
bin1111001101111111…
…1111011011000000
3101112201010012002111
43303133333123000
531331310442403
61513213025104
7203144023030
oct36337773300
911481105074
104085249728
11180702064a
12960185194
1350149c441
142aa7c58c0
1518d9b456d
hexf37ff6c0

4085249728 has 56 divisors (see below), whose sum is σ = 9351459072. Its totient is φ = 1734438144.

The previous prime is 4085249713. The next prime is 4085249737. The reversal of 4085249728 is 8279425804.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5325 + ... + 90547.

Almost surely, 24085249728 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 4085249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675729536).

4085249728 is an abundant number, since it is smaller than the sum of its proper divisors (5266209344).

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

4085249728 is a wasteful number, since it uses less digits than its factorization.

4085249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85349 (or 85339 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The square root of 4085249728 is about 63915.9583202818. The cubic root of 4085249728 is about 1598.5989986050.

The spelling of 4085249728 in words is "four billion, eighty-five million, two hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 214 224 428 448 749 856 1498 1712 2996 3424 5992 6848 11984 23968 47936 85223 170446 340892 596561 681784 1193122 1363568 2386244 2727136 4772488 5454272 9118861 9544976 18237722 19089952 36475444 38179904 63832027 72950888 127664054 145901776 255328108 291803552 510656216 583607104 1021312432 2042624864 4085249728