Search a number
-
+
48085326 = 235163607
BaseRepresentation
bin1011011101101…
…1100101001110
310100110222200000
42313123211032
544302212301
64434345130
71122501312
oct267334516
9110428600
1048085326
1125163243
121412b1a6
139c67a73
146559b42
15434c786
hex2ddb94e

48085326 has 48 divisors (see below), whose sum is σ = 108885504. Its totient is φ = 15903864.

The previous prime is 48085321. The next prime is 48085339. The reversal of 48085326 is 62358084.

It is a super-3 number, since 3×480853263 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48085321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78915 + ... + 79521.

It is an arithmetic number, because the mean of its divisors is an integer number (2268448).

It is a vampire number, since it can be written as 54638802 (with its own digits).

Almost surely, 248085326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48085326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54442752).

48085326 is an abundant number, since it is smaller than the sum of its proper divisors (60800178).

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

48085326 is a wasteful number, since it uses less digits than its factorization.

48085326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48085326 is about 6934.3583697412. The cubic root of 48085326 is about 363.6393350250.

The spelling of 48085326 in words is "forty-eight million, eighty-five thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 243 326 486 489 607 978 1214 1467 1821 2934 3642 4401 5463 8802 10926 13203 16389 26406 32778 39609 49167 79218 98334 98941 147501 197882 295002 296823 593646 890469 1780938 2671407 5342814 8014221 16028442 24042663 48085326