Search a number
-
+
49460128 = 253173683
BaseRepresentation
bin1011110010101…
…1001110100000
310110001211112121
42330223032200
5100130211003
64524034024
71140255424
oct274531640
9113054477
1049460128
1125a12143
1214692914
13a329763
1467d6b84
15451ecbd
hex2f2b3a0

49460128 has 48 divisors (see below), whose sum is σ = 102041856. Its totient is φ = 23569920.

The previous prime is 49460119. The next prime is 49460129. The reversal of 49460128 is 82106494.

49460128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49460093 and 49460102.

It is not an unprimeable number, because it can be changed into a prime (49460129) 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 7 ways as a sum of consecutive naturals, for example, 72075 + ... + 72757.

It is an arithmetic number, because the mean of its divisors is an integer number (2125872).

Almost surely, 249460128 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 49460128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51020928).

49460128 is an abundant number, since it is smaller than the sum of its proper divisors (52581728).

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

49460128 is a wasteful number, since it uses less digits than its factorization.

49460128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 49460128 is about 7032.7894892425. The cubic root of 49460128 is about 367.0724118192.

The spelling of 49460128 in words is "forty-nine million, four hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 73 124 146 248 292 496 584 683 992 1168 1366 2263 2336 2732 4526 5464 9052 10928 18104 21173 21856 36208 42346 49859 72416 84692 99718 169384 199436 338768 398872 677536 797744 1545629 1595488 3091258 6182516 12365032 24730064 49460128