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49442128 = 24712613
BaseRepresentation
bin1011110010011…
…0110101010000
310110000220211221
42330212311100
5100124122003
64523414424
71140152101
oct274466520
9113026757
1049442128
11259aa66a
1214684414
13a3214c8
1467d03a8
1545197bd
hex2f26d50

49442128 has 30 divisors (see below), whose sum is σ = 97320842. Its totient is φ = 24333120.

The previous prime is 49442119. The next prime is 49442143. The reversal of 49442128 is 82124494.

49442128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 26132544 + 23309584 = 5112^2 + 4828^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49442093 and 49442102.

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 5 ways as a sum of consecutive naturals, for example, 80350 + ... + 80962.

Almost surely, 249442128 is an apocalyptic number.

49442128 is the 3759-th centered heptagonal number.

It is an amenable number.

49442128 is a deficient number, since it is larger than the sum of its proper divisors (47878714).

49442128 is an equidigital number, since it uses as much as digits as its factorization.

49442128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 686 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 49442128 is about 7031.5096529835. The cubic root of 49442128 is about 367.0278769223.

The spelling of 49442128 in words is "forty-nine million, four hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 71 142 284 568 613 1136 1226 2452 4904 5041 9808 10082 20164 40328 43523 80656 87046 174092 348184 696368 3090133 6180266 12360532 24721064 49442128