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49089456 = 2433138741
BaseRepresentation
bin1011101101000…
…0101110110000
310102101000002000
42323100232300
5100031330311
64512054000
71134152643
oct273205660
9112330060
1049089456
11257896a9
1214534300
13a229b20
14673ba5a
15449a056
hex2ed0bb0

49089456 has 80 divisors (see below), whose sum is σ = 151761120. Its totient is φ = 15102720.

The previous prime is 49089433. The next prime is 49089473. The reversal of 49089456 is 65498094.

It is a happy number.

49089456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1246 + ... + 9986.

It is an arithmetic number, because the mean of its divisors is an integer number (1897014).

Almost surely, 249089456 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 49089456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75880560).

49089456 is an abundant number, since it is smaller than the sum of its proper divisors (102671664).

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

49089456 is a wasteful number, since it uses less digits than its factorization.

49089456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 49089456 is about 7006.3868006270. The cubic root of 49089456 is about 366.1531205590.

The spelling of 49089456 in words is "forty-nine million, eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 8741 17482 26223 34964 52446 69928 78669 104892 113633 139856 157338 209784 227266 236007 314676 340899 419568 454532 472014 629352 681798 909064 944028 1022697 1258704 1363596 1818128 1888056 2045394 2727192 3068091 3776112 4090788 5454384 6136182 8181576 12272364 16363152 24544728 49089456