Search a number
-
+
48454496 = 2561103241
BaseRepresentation
bin1011100011010…
…1101101100000
310101011202001222
42320311231200
544401020441
64450314212
71125566516
oct270655540
9111152058
1048454496
1125395642
1214288968
13a066acc
1466144b6
1543c1d4b
hex2e35b60

48454496 has 48 divisors (see below), whose sum is σ = 98306208. Its totient is φ = 23500800.

The previous prime is 48454481. The next prime is 48454501. The reversal of 48454496 is 69445484.

48454496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×484544962 = 4695676365228032, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 200936 + ... + 201176.

It is an arithmetic number, because the mean of its divisors is an integer number (2048046).

Almost surely, 248454496 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 48454496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49153104).

48454496 is an abundant number, since it is smaller than the sum of its proper divisors (49851712).

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

48454496 is a wasteful number, since it uses less digits than its factorization.

48454496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its digits is 552960, while the sum is 44.

The square root of 48454496 is about 6960.9263751314. The cubic root of 48454496 is about 364.5675644343.

The spelling of 48454496 in words is "forty-eight million, four hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 103 122 206 241 244 412 482 488 824 964 976 1648 1928 1952 3296 3856 6283 7712 12566 14701 24823 25132 29402 49646 50264 58804 99292 100528 117608 198584 201056 235216 397168 470432 794336 1514203 3028406 6056812 12113624 24227248 48454496