Search a number
-
+
1013628448 = 25712493623
BaseRepresentation
bin111100011010101…
…011111000100000
32121122022122211101
4330122223320200
54033442102243
6244325324144
734055461660
oct7432537040
92548278741
101013628448
11480192068
12243566654
13131ccc461
14988981a0
155dec454d
hex3c6abe20

1013628448 has 48 divisors (see below), whose sum is σ = 2283120000. Its totient is φ = 433944576.

The previous prime is 1013628443. The next prime is 1013628467. The reversal of 1013628448 is 8448263101.

1013628448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1013628443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277965 + ... + 281587.

It is an arithmetic number, because the mean of its divisors is an integer number (47565000).

Almost surely, 21013628448 is an apocalyptic number.

It is an amenable number.

1013628448 is an abundant number, since it is smaller than the sum of its proper divisors (1269491552).

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

1013628448 is a wasteful number, since it uses less digits than its factorization.

1013628448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 1013628448 is about 31837.5320651586. The cubic root of 1013628448 is about 1004.5223336687.

The spelling of 1013628448 in words is "one billion, thirteen million, six hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1249 2498 3623 4996 7246 8743 9992 14492 17486 19984 25361 28984 34972 39968 50722 57968 69944 101444 115936 139888 202888 279776 405776 811552 4525127 9050254 18100508 31675889 36201016 63351778 72402032 126703556 144804064 253407112 506814224 1013628448