Search a number
-
+
48384056 = 2373147593
BaseRepresentation
bin1011100010010…
…0100000111000
310101001011110002
42320210200320
544341242211
64445012132
71125154250
oct270444070
9111034402
1048384056
1125347726
1214254048
13a040a26
1465d6960
1543ab03b
hex2e24838

48384056 has 64 divisors (see below), whose sum is σ = 109486080. Its totient is φ = 19607040.

The previous prime is 48384053. The next prime is 48384097. The reversal of 48384056 is 65048384.

It is a happy number.

It is a super-2 number, since 2×483840562 = 4682033750022272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48384053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81296 + ... + 81888.

It is an arithmetic number, because the mean of its divisors is an integer number (1710720).

Almost surely, 248384056 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 48384056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54743040).

48384056 is an abundant number, since it is smaller than the sum of its proper divisors (61102024).

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

48384056 is a wasteful number, since it uses less digits than its factorization.

48384056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 48384056 is about 6955.8648635522. The cubic root of 48384056 is about 364.3908172078.

The spelling of 48384056 in words is "forty-eight million, three hundred eighty-four thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 31 47 56 62 94 124 188 217 248 329 376 434 593 658 868 1186 1316 1457 1736 2372 2632 2914 4151 4744 5828 8302 10199 11656 16604 18383 20398 27871 33208 36766 40796 55742 73532 81592 111484 128681 147064 195097 222968 257362 390194 514724 780388 864001 1029448 1560776 1728002 3456004 6048007 6912008 12096014 24192028 48384056