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49066074 = 23673461
BaseRepresentation
bin1011101100101…
…1000001011010
310102022211000000
42323023001122
5100030103244
64511353430
71134024531
oct273130132
9112284000
1049066074
1125773082
1214522876
13a21c2a5
146733318
154493169
hex2ecb05a

49066074 has 56 divisors (see below), whose sum is σ = 112102452. Its totient is φ = 16096320.

The previous prime is 49066067. The next prime is 49066079. The reversal of 49066074 is 47066094.

49066074 is a `hidden beast` number, since 49 + 0 + 6 + 607 + 4 = 666.

49066074 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 2 ways, for example, as 48902049 + 164025 = 6993^2 + 405^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49066079) 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 27 ways as a sum of consecutive naturals, for example, 106204 + ... + 106664.

Almost surely, 249066074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49066074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56051226).

49066074 is an abundant number, since it is smaller than the sum of its proper divisors (63036378).

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

49066074 is an equidigital number, since it uses as much as digits as its factorization.

49066074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 49066074 is about 7004.7179814751. The cubic root of 49066074 is about 366.0949766952.

It can be divided in two parts, 490 and 66074, that added together give a square (66564 = 2582).

The spelling of 49066074 in words is "forty-nine million, sixty-six thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 461 486 657 729 922 1314 1383 1458 1971 2766 3942 4149 5913 8298 11826 12447 17739 24894 33653 35478 37341 53217 67306 74682 100959 106434 112023 201918 224046 302877 336069 605754 672138 908631 1817262 2725893 5451786 8177679 16355358 24533037 49066074