Search a number
-
+
48557408 = 253121579
BaseRepresentation
bin1011100100111…
…0110101100000
310101100222020112
42321032311200
544412314113
64452430452
71126505534
oct271166540
9111328215
1048557408
1125455999
1214318428
13a0a18c3
14663dbc4
1543e25a8
hex2e4ed60

48557408 has 36 divisors (see below), whose sum is σ = 98843220. Its totient is φ = 23480640.

The previous prime is 48557401. The next prime is 48557419. The reversal of 48557408 is 80475584.

48557408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48557401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 29963 + ... + 31541.

It is an arithmetic number, because the mean of its divisors is an integer number (2745645).

Almost surely, 248557408 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 48557408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49421610).

48557408 is an abundant number, since it is smaller than the sum of its proper divisors (50285812).

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

48557408 is a wasteful number, since it uses less digits than its factorization.

48557408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 41.

The square root of 48557408 is about 6968.3145738407. The cubic root of 48557408 is about 364.8254823433.

The spelling of 48557408 in words is "forty-eight million, five hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1579 1922 3158 3844 6316 7688 12632 15376 25264 30752 48949 50528 97898 195796 391592 783184 1517419 1566368 3034838 6069676 12139352 24278704 48557408