Search a number
-
+
49076729 = 1329349373
BaseRepresentation
bin1011101100110…
…1100111111001
310102100100121122
42323031213321
5100030423404
64511515025
71134100562
oct273154771
9112310548
1049076729
1125780089
1214528a75
13a2240b0
146737169
1544963be
hex2ecd9f9

49076729 has 16 divisors (see below), whose sum is σ = 54978000. Its totient is φ = 43497216.

The previous prime is 49076711. The next prime is 49076749. The reversal of 49076729 is 92767094.

It can be written as a sum of positive squares in 8 ways, for example, as 76729 + 49000000 = 277^2 + 7000^2 .

It is not a de Polignac number, because 49076729 - 220 = 48028153 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 49076729.

It is not an unprimeable number, because it can be changed into a prime (49076749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131387 + ... + 131759.

It is an arithmetic number, because the mean of its divisors is an integer number (3436125).

Almost surely, 249076729 is an apocalyptic number.

It is an amenable number.

49076729 is a deficient number, since it is larger than the sum of its proper divisors (5901271).

49076729 is a wasteful number, since it uses less digits than its factorization.

49076729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764.

The product of its (nonzero) digits is 190512, while the sum is 44.

The square root of 49076729 is about 7005.4784990035. The cubic root of 49076729 is about 366.1214747032.

The spelling of 49076729 in words is "forty-nine million, seventy-six thousand, seven hundred twenty-nine".

Divisors: 1 13 29 349 373 377 4537 4849 10121 10817 130177 131573 140621 1692301 3775133 49076729