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49544082 = 2337532473
BaseRepresentation
bin1011110011111…
…1101110010010
310110020002201000
42330333232102
5100140402312
64525522430
71141055250
oct274775622
9113202630
1049544082
1125a6a225
1214713416
13a358a33
1468195d0
154539adc
hex2f3fb92

49544082 has 64 divisors (see below), whose sum is σ = 128252160. Its totient is φ = 13882752.

The previous prime is 49544071. The next prime is 49544101. The reversal of 49544082 is 28044594.

It is a super-2 number, since 2×495440822 = 4909232122445448, which contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18798 + ... + 21270.

It is an arithmetic number, because the mean of its divisors is an integer number (2003940).

Almost surely, 249544082 is an apocalyptic number.

49544082 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

49544082 is the 4452-nd heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49544082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64126080).

49544082 is an abundant number, since it is smaller than the sum of its proper divisors (78708078).

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

49544082 is a wasteful number, since it uses less digits than its factorization.

49544082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 49544082 is about 7038.7557139028. The cubic root of 49544082 is about 367.2799849256.

The spelling of 49544082 in words is "forty-nine million, five hundred forty-four thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 2226 2473 2862 3339 4946 6678 7419 10017 14838 17311 20034 22257 34622 44514 51933 66771 103866 131069 133542 155799 262138 311598 393207 467397 786414 917483 934794 1179621 1834966 2359242 2752449 3538863 5504898 7077726 8257347 16514694 24772041 49544082