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49131666 = 23217307523
BaseRepresentation
bin1011101101101…
…1000010010010
310102110010222100
42323123002102
5100034203131
64513021230
71134420003
oct273330222
9112403870
1049131666
1125808391
1214554816
13a2430bc
14674d1aa
1544a77e6
hex2edb092

49131666 has 48 divisors (see below), whose sum is σ = 113297184. Its totient is φ = 15334272.

The previous prime is 49131661. The next prime is 49131679. The reversal of 49131666 is 66613194.

49131666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49131666.

It is not an unprimeable number, because it can be changed into a prime (49131661) 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 23 ways as a sum of consecutive naturals, for example, 93681 + ... + 94203.

It is an arithmetic number, because the mean of its divisors is an integer number (2360358).

Almost surely, 249131666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49131666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56648592).

49131666 is an abundant number, since it is smaller than the sum of its proper divisors (64165518).

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

49131666 is a wasteful number, since it uses less digits than its factorization.

49131666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 852 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 49131666 is about 7009.3984049988. The cubic root of 49131666 is about 366.2580371527.

The spelling of 49131666 in words is "forty-nine million, one hundred thirty-one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 307 523 614 921 1046 1569 1842 2763 3138 4707 5219 5526 8891 9414 10438 15657 17782 26673 31314 46971 53346 80019 93942 160038 160561 321122 481683 963366 1445049 2729537 2890098 5459074 8188611 16377222 24565833 49131666